{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "330d1251-eac1-4cfd-aa58-fbfa554ef6de",
   "metadata": {},
   "source": [
    "# 机器学习初步--梯度下降"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d912a3c3-5565-4360-9642-e952869d29a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "data=pd.read_csv(\"Salary_Data.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "487d7673-265a-4e38-b884-f0b68d993cbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x25ca45941c0>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "\n",
    "from matplotlib.font_manager import fontManager     #font: 字体； 将字体Simhei加入matplotlib,中文黑体\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "x=data[\"YearsExperience\"]\n",
    "y=data[\"Salary\"]\n",
    "\n",
    "\n",
    "#plt.plot(x,y)  折线图\n",
    "plt.plot(x,y,'x',color=\"red\")  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "38c3327d-e309-4dd3-aa7c-c88eb7fe1175",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>YearsExperience</th>\n",
       "      <th>Salary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>33.000000</td>\n",
       "      <td>33.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>4.881818</td>\n",
       "      <td>18.137879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>3.036904</td>\n",
       "      <td>7.076154</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.300000</td>\n",
       "      <td>9.050000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.900000</td>\n",
       "      <td>13.600000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4.100000</td>\n",
       "      <td>15.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>7.100000</td>\n",
       "      <td>24.550000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>10.500000</td>\n",
       "      <td>30.575000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       YearsExperience     Salary\n",
       "count        33.000000  33.000000\n",
       "mean          4.881818  18.137879\n",
       "std           3.036904   7.076154\n",
       "min           0.300000   9.050000\n",
       "25%           2.900000  13.600000\n",
       "50%           4.100000  15.800000\n",
       "75%           7.100000  24.550000\n",
       "max          10.500000  30.575000"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "50eeeb3a-c244-4646-9583-183787648f19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "\n",
    "from matplotlib.font_manager import fontManager   # 可以支持汉字输出\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "\n",
    "x = data[\"YearsExperience\"]\n",
    "y = data[\"Salary\"]\n",
    "\n",
    "\n",
    "plt.scatter(x, y, marker=\"x\", color=\"red\")\n",
    "plt.title(\"工作年限-工资\")\n",
    "plt.xlabel(\"年限\")\n",
    "plt.ylabel(\"收入（千元）\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fd0e6ca3-c502-40df-bad3-0d1e0d6e6036",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\anacoda\\anacoda\\lib\\site-packages\\IPython\\core\\pylabtools.py:152: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_pred(w, b):\n",
    "  y_pred = x*w + b\n",
    "  plt.plot(x, y_pred, color=\"blue\", label=\"预测\")\n",
    "  plt.scatter(x, y, marker=\"x\", color=\"red\", label=\"真实数据\")\n",
    "  plt.title(\"工作年限-工资\")\n",
    "  plt.xlabel(\"年限\")\n",
    "  plt.ylabel(\"工资（千）\")\n",
    "  plt.xlim([0, 12])\n",
    "  plt.ylim([-60, 140])\n",
    "  plt.legend()\n",
    "  plt.show()\n",
    "\n",
    "plot_pred(2.4, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2324361a-5e6e-42f5-8f6a-0e21e024de2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3cf96d5c660f45b58a313fc693e59fac",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='w', min=-100), IntSlider(value=0, description='b', min=-…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_pred(w, b)>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "\n",
    "interact(plot_pred, w=(-100, 100, 1), b=(-100, 100, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e832c793-63c3-43c5-9d52-5e61ecf68282",
   "metadata": {},
   "source": [
    "# 成本函数cost\n",
    "\n",
    "1. 实际上的y值和理论上的y值的差的平方和是一种线性的简单损失函数\n",
    "2. 若是其平方和最小则可认为找到了最合适的w和b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "12e1ccc3-4da3-4f0f-b677-2cb91ef0cd5d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_cost(x, y, w, b):          # 注意x,y,cost都是numpy数组\n",
    "    y_pred=w*x+b\n",
    "    cost=(y-y_pred)**2\n",
    "    cost = cost.sum() / len(x)     # 对cost数组求和，除以其中含有的数据数。最后得到cost的平均数并赋值给cost本身\n",
    "    print(cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2dc73946-8064-4847-b21d-537823579fc1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "143.39863636363637\n"
     ]
    }
   ],
   "source": [
    "compute_cost(x,y,1,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3369d3b-4b38-4f52-a9cb-c300fa471d13",
   "metadata": {},
   "source": [
    "costs = []\n",
    "for w in range(-100, 101):\n",
    "    \n",
    "  cost = compute_cost(x, y, w, 0)\n",
    "  costs.append(cost)\n",
    "costs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "6ad04682-1791-4aa0-ac16-c1eecb782eed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+fYWrq6sYMGCA2Lt3rwgMDGxySRJCiKNHj4pRo0YJR0dHERgYKF577TWh1+uv+l6bN28W3bt3F0qlUnTt2lXk5+c3Gr/eh3ZGRoYYO3ascHR0FJ06dRKvv/66cdHG1ipJY8aMETNmzBDOzs6ia9euYsWKFU167+WKiorErFmzRP/+/cWTTz4pLl682Kz3f/DBB0KhUAidTieEEMLd3V38+9//bnaOprjez7umpkYsWbJEREZGirvuustkMd+1a5cYPXq0GDRokPjss89anONaJUkIIY4cOSImTpwoIiMjxTvvvCNqa2sbjVdUVIgXX3xRREREiKlTpzZaAJOouWRCXOPyDCIiIiIbxjlJRERERCawJBERERGZwJJEREREZAJLEhEREZEJLElEREREJrAkEREREZnA25K0kMFgQH5+PlQq1VW3RyAiIiLLJIRAWVkZOnfufMPbJLEktVB+fj4CAgKkjkFEREQtkJOT0+hG3aawJLWQSqUCUP9DdnNzkzgNERERNYVWq0VAQIDxc/x6WJJaqOEUm5ubG0sSERGRlWnKVBlO3CYiIiIygSWJiIiIyASWJCIiIiITWJKIiIiITGBJIiIiIjKBJYmIiIjIBJYkIiIiIhNYkoiIiIhMYEkiIiIiMkGyklRcXIz9+/ejqKhIqghERERE1yRJSVq3bh1CQkLw9NNPo0uXLli3bh0AYM6cOZDJZMZHSEiI8T2pqamIioqCh4cH5s2bByGEWceIiIjItrV5SSotLcWcOXOwZ88eJCUlYeXKlZg/fz4A4NChQ/jpp59QUlKCkpISJCUlAQB0Oh0mTJiAyMhIJCYmIi0tDatXrzbbGBERERFEGzt79qz46quvjF+npKQIlUolampqhEqlEmVlZVe9Jy4uTnh4eIiKigohhBDJycli6NChZhtrCo1GIwAIjUbT3B/BDRWWVYu0/Nb/c4mIiGxdcz6/2/xIUkBAAKZNmwYAqKmpwdKlSzFp0iQcOXIEQgj0798fTk5OGDduHM6ePQsASElJQXR0NJydnQEAYWFhSEtLM9uYKTqdDlqtttHDHLamnsegt37HP+OOmuXPJyIioqaRbOJ2SkoKOnbsiG3btmHZsmVIT09Hnz59sHbtWqSlpcHOzg6zZs0CAGi1WgQHBxvfK5PJoFAoUFJSYpYxUxYvXgy1Wm18BAQEtPaPBAAwINAdQggknS3F2eJKs3wPIiIiujHJSlJYWBh+//139OnTBzNnzsS0adOQkJCAqKgoBAcHY/ny5di2bRu0Wi2USiUcHBwavd/R0RGVlZVmGTNl4cKF0Gg0xkdOTk4r/BSu5qNyxNCQDgCAH1PyzPI9iIiI6MYkK0kymQwRERFYvXo1Nm3adNURHHd3dxgMBpw7dw6enp4oLCxsNF5WVgZ7e3uzjJni4OAANze3Rg9zuSu8MwBgY3I+r7gjIiKSSJuXpPj4eMybN8/4tVKpBAC8/vrrWL9+vfH5gwcPQi6XIyAgAFFRUUhISDCOZWdnQ6fTwdPT0yxjUhvb1xf2SjkyC8qRfq5M6jhEREQ2qc1LUq9evbBy5Up8/PHHyMnJwYIFCzBmzBhERERg0aJF2L17N+Lj4zFnzhzMmDEDzs7OGD58ODQaDdasWQMAWLJkCWJiYqBQKMwyJjU3RzuM6uUDANjEU25ERETSMPeldqZs3bpV9O7dW6hUKjF58mRRUFAghBBiwYIFwt3dXQQEBIhnn31WlJeXG98TFxcnnJychI+Pj/Dy8hKpqalmHbsRcy4BIIQQvxzNF4Hzt4jBb20XdXUGs3wPIiIiW9Ocz2+ZENYz6SUvLw+JiYkYMmQIvL29zT52PVqtFmq1GhqNxizzk6pr6hD15naU6WqxftZg3BIs/WlAIiIia9ecz2+rKkmWxNwlCQDmfZeC7w7lYtqgLvj3Pf3M8j2IiIhsSXM+vyW7uo1ubGJ/PwDAT0fPQV9rkDgNERGRbWFJsmCDu3mhg6sDSitrsDez8MZvICIiolbDkmTBFHIZJoR3AgBsSs6XOA0REZFtYUmycA2n3LYdu4BKfa3EaYiIiGwHS5KFC/dXI9DLGVU1dfgt7YLUcYiIiGwGS5KFk8lkmHjpNiU/8pQbERFRm2FJsgJ39a8vSbsyClFSoZc4DRERkW1gSbICIT4q9OnshlqDwM+p56SOQ0REZBNYkqzExEtHk3iVGxERUdtgSbISE8I7QyYDDmRdRH5pldRxiIiI2j2WJCvRSe2EW4Lq79/2YwqPJhEREZkbS5IVuTuifs2kjUl5EichIiJq/1iSrMidfTvBXiHH8fNlSMvXSh2HiIioXWNJsiJqZzuM6u0DANiYzKNJRERE5sSSZGUaTrltSs5DnUFInIaIiKj9YkmyMiN7+sDd2Q4XtDrsP1UkdRwiIqJ2iyXJytgr5YgN6wQAiDvMU25ERETmwpJkhe6J8AcAbD12HpX6WonTEBERtU8sSVZoQBd3BHo5o1Jfh23HLkgdh4iIqF1iSbJCMpkMd/evn8D9A9dMIiIiMguWJCt1z6Wr3PaeLESBtlriNERERO0PS5KVCurgggFd3GEQvE0JERGRObAkWbGGo0k/8Co3IiKiVseSZMViwzrDTiFD2jktTpwvkzoOERFRu8KSZMU8XOwxomf9bUriOIGbiIioVbEkWblJl92mxMDblBAREbUaliQrN7KXD9wclTinqUbC6WKp4xAREbUbLElWztFOgfGXblPCNZOIiIhaD0tSO2C8TUnqeVTp6yROQ0RE1D6wJLUDAwM94O/hhHJdLbalnZc6DhERUbvAktQOyOUy4wTuDVwziYiIqFWwJLUTkwbUn3Lbe7IQ5zW8TQkREdHNYklqJ4I6uCAqyAMGwTWTiIjIutUZBL5MOIPicp2kOViS2pHJkfVHk74/lAMhuGYSERFZpz0nC/HyxlTc8d4eSdcAZElqR+7s1wmOdnKcKqxAck6p1HGIiIhapGF+7Z39OkEul0mWQ7KSVFxcjP3796OoqEiqCO2OytEO4/r4AgA2HM6VOA0REVHzaapq8Oux+iu1770031YqkpSkdevWISQkBE8//TS6dOmCdevWAQBSU1MRFRUFDw8PzJs3r9Epo7Yes1aTIwMAAD8m56O6hmsmERGRdfnpyDnoaw3o2VGFvn5ukmZp85JUWlqKOXPmYM+ePUhKSsLKlSsxf/586HQ6TJgwAZGRkUhMTERaWhpWr14NAG0+Zs0Gd/NCZ7UjtNW12J5+Qeo4REREzdJwJuTeSD/IZNKdagMAiDZ29uxZ8dVXXxm/TklJESqVSsTFxQkPDw9RUVEhhBAiOTlZDB06VAgh2nysKTQajQAgNBpNi38W5vLu1uMicP4WMf3zP6WOQkRE1GSnCspE4PwtInjBFnFBU2WW79Gcz+82P5IUEBCAadOmAQBqamqwdOlSTJo0CSkpKYiOjoazszMAICwsDGlpaQDQ5mOm6HQ6aLXaRg9LNWlA/cKSuzMKUaDlmklERGQdfrg0YXt4D2/4uDlKnEbCidspKSno2LEjtm3bhmXLlkGr1SI4ONg4LpPJoFAoUFJS0uZjpixevBhqtdr4CAgIaM0fR6vq6u2KyECumURERNajziCMp9oalrSRmmQlKSwsDL///jv69OmDmTNnQqlUwsHBodFrHB0dUVlZ2eZjpixcuBAajcb4yMnJaemmt4m/1kzKbRcT0omIqH3bm1mEc5pquDvbYXRoR6njAJCwJMlkMkRERGD16tXYtGkTPD09UVhY2Og1ZWVlsLe3b/MxUxwcHODm5tboYcnGh3WCg1KOkwXlOJqnkToOERHRdX2XWH/wYWJ4ZzgoFRKnqdfmJSk+Ph7z5s0zfq1UKgEAvXr1QkJCgvH57Oxs6HQ6eHp6Iioqqk3H2gM3RzuMvbRm0veHuGYSERFZrtJKPbYdq78ie8pAy5nO0uYlqVevXli5ciU+/vhj5OTkYMGCBRgzZgzGjx8PjUaDNWvWAACWLFmCmJgYKBQKDB8+vE3H2ouGU26bkvOhq+WaSUREZJl+TMmHvs6A3p3c0KezBZ2pMcv1dTewdetW0bt3b6FSqcTkyZNFQUGBEKL+snwnJyfh4+MjvLy8RGpqqvE9bT12I5a8BECD2jqDGPTv7SJw/hbx85F8qeMQERGZFPu/PSJw/hbx2Z7TZv9ezfn8lglhWbN68/LykJiYiCFDhsDb21vSsevRarVQq9XQaDQWPT/p7a3HsWLnKYzq5YPPZkRJHYeIiKiR9HNa3PHeHtgpZPjznzHwdDE9N7i1NOfzW2nWJC3g5+cHPz8/ixhrD+4d4I8VO09hZ0YhCsqq4aOSft0JIiKiBt8l1s+bjend0ewFqbkku7qN2kaIjysiurijziCMi3QRERFZAn2tARuT6z+bpgy0jLWRLseSZAP+dulKgfUHc7hmEhERWYz44xdwsUIPH5UDhndv+pSXtsKSZANiwzvDyU6B00UVOHTG9IriREREba3hVNukAf5QKiyvklheImp1rg5KjA/rBAD49qBlrxRORES2oUBbjR0nCgBY5qk2gCXJZvwtqv6U209Hz6FcVytxGiIisnU/JOXBIIABXdzRzdtV6jgmsSTZiIGBHujq7YJKfR22pORLHYeIiGyYEMJ4G5L7LGiF7SuxJNkImUxm/EVcn8hTbkREJJ3DZ0txqrACjnZy43QQS8SSZEMmDfCDQi7D4bOlyCwokzoOERHZqO8P1f9j/c6+naBytJM4zbWxJNkQH5UjRvb0AcAJ3EREJI1KfS02p5wDYFk3szWFJcnGNEzg/uFwHvS1BonTEBGRrfnl6HmU62oR4OmEQcGeUse5LpYkGzOypze8VQ4ortAj/niB1HGIiMjGNJzJuC8yAHK5TOI018eSZGOUCjkmDai/Vx0ncBMRUVvKLCjHgeyLkMss/1QbwJJkkxquctt5ogDnNdUSpyEiIlvR8I/zkT194Ku2/BuusyTZoG7erogK8oBBABsO50odh4iIbIC+1oANh+o/c+6/pYvEaZqGJclGXb5mksHAm94SEZF5/ZZ2AcWXbmY7sqfl3czWFJYkG3Vnv05wsVfgTHElDmRflDoOERG1c+sOngVQf582S7yZrSnWkZJanYuDEhPCOwMA1nPNJCIiMqOci5XYm1kEAPjbQOs41QawJNm0+y676a2mskbiNERE1F59l5gDIYChIV7o4uUsdZwmY0myYREB7ujZUQVdrQEbk/OkjkNERO1QbZ0B6xMvTdiOsp6jSABLkk2TyWR44Jb6o0lrD5yFEJzATURErWv3yUKc11bDw9kOY/p0lDpOs7Ak2bh7IvzhoJTj+PkyJOWUSh2HiIjambUH6ue9ThrgDwelQuI0zcOSZOPUznaIDaufwL32z7MSpyEiovakQFttvAXW/VGWv8L2lViSCFMH1f/ibj6SD201J3ATEVHr+O5QLuoMApGBHujeUSV1nGZjSSIM6OKBHh1dUV1jwKYkTuAmIqKbZzAI421IrPEoEsCSRGiYwF1/xcHXf3ICNxER3byE08U4U1wJlYMS48M6SR2nRViSCABwT4SfcQJ3Sq5G6jhERGTl1l5aqPiu/p3hbK+UOE3LsCQRAMDd2R7j+9U3fU7gJiKim1FSocevqecBwHimwhqxJJHRA4Pqf5F/TMlHGSdwExFRC31/KBf6OgP6+rmhr59a6jgtxpJERgMDPRDi44qqmjpsSs6XOg4REVkhg0HgmwP1ZyQeHBQocZqbw5JERpdP4P6GE7iJiKgF/jhdjKyiCqguu5G6tWJJokbuHeAHe6Ucaee0OMIJ3ERE1Exf/3kGAHDPAD+4OFjnhO0GLEnUSKMJ3Ac4gZuIiJquQFuNbccuAACmDrLeCdsNWJLoKg2n3DiBm4iImmN9Yg5qDQIDAz3Qy9dN6jg3jSWJrhIV5IFu3i6o1NfhxxRO4CYiohurMwjjzWynRVv/USSAJYlMaLQCdwIncBMR0Y3tyihAXmkV3J3tcEdf61xh+0osSWTS5Eh/OFyawJ2UUyp1HCIisnBfJ9TPY50S6Q9HO4XEaVqHJCVp06ZN6Nq1K5RKJQYNGoT09HQAwJw5cyCTyYyPkJAQ43tSU1MRFRUFDw8PzJs3r9HRDXOM2Tp3Z3vjpZtf/XFG4jRERGTJcksqEX+iAIB1r7B9pTYvSadOncLMmTOxZMkS5OXlITAwEI899hgA4NChQ/jpp59QUlKCkpISJCUlAQB0Oh0mTJiAyMhIJCYmIi0tDatXrzbbGNV7KLp+EbAtR87hYoVe4jRERGSpvj2YAyGAoSFe6OrtKnWc1iPa2ObNm8WKFSuMX8fHxwt7e3tRU1MjVCqVKCsru+o9cXFxwsPDQ1RUVAghhEhOThZDhw4121hTaDQaAUBoNJrm/gisSuz/9ojA+VvERzszpY5CREQWSF9bJwa++ZsInL9F/HQkX+o4N9Scz+82P5IUGxuL2bNnG78+ceIEQkJCcOTIEQgh0L9/fzg5OWHcuHE4e7b+/GZKSgqio6Ph7OwMAAgLC0NaWprZxkzR6XTQarWNHrag4WjSV3+egcHA05FERNTY9rQLKCzTwVvlgNGhHaWO06oknbit1+uxdOlSPPXUU0hPT0efPn2wdu1apKWlwc7ODrNmzQIAaLVaBAcHG98nk8mgUChQUlJiljFTFi9eDLVabXwEBAS09o/DIk0I7ww3RyVyLlZh18lCqeMQEZGF+frP+gMafxsYADtF+7oeTNKteemll+Dq6oonnngC06ZNQ0JCAqKiohAcHIzly5dj27Zt0Gq1UCqVcHBwaPReR0dHVFZWmmXMlIULF0Kj0RgfOTk5rfATsHxO9gpMjqwvhF8ncAI3ERH9JauoAnsziyCTAfff0v4OHkhWkn777Td89NFH+Oabb2BnZ3fVuLu7OwwGA86dOwdPT08UFjY+ilFWVgZ7e3uzjJni4OAANze3Rg9b0bAo2O/HC5Bz0XSJJCIi29Nw+6qRPX3g7+EscZrWJ0lJOn36NKZNm4YVK1YgNDQUADB37lysX7/e+JqDBw9CLpcjICAAUVFRSEhIMI5lZ2dDp9PB09PTLGPUWDdvVwwN8YIQvJ8bERHVq66pw/rE+rMqU9vRZf+Xa/OSVFVVhdjYWNx9992YOHEiysvLUV5ejvDwcCxatAi7d+9GfHw85syZgxkzZsDZ2RnDhw+HRqPBmjVrAABLlixBTEwMFAqFWcboag0TuNcn5kBXWydxGiIiktqPKfkorayBn7sTRvbykTqOeZj/YrvG4uLiBICrHllZWWLBggXC3d1dBAQEiGeffVaUl5c3ep+Tk5Pw8fERXl5eIjU11axjN2IrSwA0qKmtE7f8u/4Sz41JuVLHISIiCRkMBjH+f7tF4Pwt4sMd1rVETHM+v2VCWM8y03l5eUhMTMSQIUPg7e1t9rHr0Wq1UKvV0Gg0NjM/adn2DCzbfhJRQR74bvYQqeMQEZFEDp8twaQP98NeKUfCwlHwdDE9n9cSNefzW9lGmVqFn58f/Pz82myMGnvgli54Pz4TB7NLcPy8Fr18baMcEhFRY2v2ZwMA7grvbFUFqbna14IGZFYd3Rwx5tJCYV9xOQAiIptUWKbDz0fPAwAeHhwocRrzYkmiZmmYwB13OA/lulqJ0xARUVv79uBZ6OsM6B/gjjB/d6njmBVLEjXL4G5e6Ortggp9HeIO50odh4iI2lBtncG4wvb0Ie37KBLAkkTNJJPJjEeTVu/PhhXN+yciopu0Pf0Czmmq4eVijzv7dZI6jtmxJFGzTY70h4u9AqcK65ejJyIi2/DF/vr5qPffEgAHZftfV5AliZpN5WiHyZH+AIAvLl3hQERE7VvGhTL8cboYchkwbVD7P9UGsCRRCz08JAhA/f3czhbzfm5ERO3dl3/UH0UaHdoRnd2dJE7TNliSqEW6ebtieA9vCAGs+SNb6jhERGRG2uoabLh0sc70wUHShmlDLEnUYjOG/HU/t0o9lwMgImqvfjiUi0p9HUJ8XDG4m5fUcdoMSxK12IgePgj0coa2uhZxSXlSxyEiIjMQQmDNpQWEpw8OhEwmkzhR22FJohaTy2V4+NJh1y+4HAARUbu0L7MYpwsr4OqgxD0D/KWO06ZYkuimTBnoD2d7BTIulOOPU8VSxyEiola2+tJVzJMG+MHVwapu+XrTWJLoprg52uHeS/+yWMXlAIiI2pUzxRX4/fgFAMD0S1c12xKWJLppDUvT/55+ATkXuRwAEVF7UX9nBWBET29083aVOk6bY0mimxbio8Kw7h1gEMBXlyb3ERGRdSurrsF3ifWX/T8yNFjiNNJgSaJW0bBuxrqDOajS10kbhoiIbtp3ibko19UixMcVw7p3kDqOJFiSqFWM7OWDAE8naKpqsDGZywEQEVmzOoMwTtieOTTIpi77vxxLErUKhVxmPJrE5QCIiKxb/PECnL1YCbWTHSZF2NZl/5djSaJWM2VgAJzsFDh+vv4miEREZJ0+35sFAHjgli5wsldInEY6LEnUatROdpgcWf8vjoa/YEREZF3Sz2nxx+liKOQyPDw4UOo4kmJJolY1c2gQAGB7egFOF5ZLG4aIiJpt1b76f+SO6+uLzu5OEqeRFksStaqu3q4Y1csHALBqX7a0YYiIqFmKy3XYmJwPAHjk0j96bRlLErW6R4fVr6fx/aFclFbqJU5DRERN9c2fZ6GvNSDcX40BXTykjiM5liRqdYO7eqF3JzdU1dThmwNnpY5DRERNoK81YM2lBYFnDg222cv+L8eSRK1OJpPhsVvrjyZ9sT8b+lqDxImIiOhGfj56DoVlOvioHHBnv05Sx7EILElkFhPCO8Nb5YALWh1+PnpO6jhERHQdQgh8fmnC9kPRgbBXsh4ALElkJvZKOaZfunT0072nubgkEZEFO3y2BEdyNbBXyjF1UBep41gMliQym6mDAuGglCM1T4sDWReljkNERNfwye76o0h39+8ML1cHidNYDpYkMhtPF3tMGlC/uORnXFySiMgiZRdV4Ne08wCAx4Z1lTiNZWFJIrN69NYgAMBv6ReQXVQhbRgiIrrKZ3uzIAQwsqc3enRUSR3HorAkkVmF+Kgwoqc3hIDxjtJERGQZLlbo8d2hHADA48N5FOlKLElkdo/dWv8Xb31iDjRVNRKnISKiBl8lnEF1jQF9/dwwuKuX1HEsDksSmd3QEC/08lWhUl+HdVxckojIIlTX1GHNH9kAgMeHdeXikSawJJHZyWQyPHJpccnV+7NRU8fFJYmIpLYxKQ9F5Xp0Vjty8chrYEmiNnFXeGd0cHXAOU01thzJlzoOEZFNMxgEPtlzGgDwyK3BsFOwDpjCnwq1CUc7BWZeuqP0yl1cXJKISEo7ThTgVGEFVA5K/C0qQOo4FkuSkrRp0yZ07doVSqUSgwYNQnp6OgAgNTUVUVFR8PDwwLx58xp9kLb1GLW+BwcFwsVegePny7Aro1DqOERENuvj3fVHkaYO6gKVo53EaSxXm5ekU6dOYebMmViyZAny8vIQGBiIxx57DDqdDhMmTEBkZCQSExORlpaG1atXA0Cbj5F5qJ3tcP8t9cvdr9x1WuI0RES26UhuKf7MugilXIYZl47w0zWINrZ582axYsUK49fx8fHC3t5exMXFCQ8PD1FRUSGEECI5OVkMHTpUCCHafKwpNBqNACA0Gk2Lfxa2KLekUnRb+JMInL9FJJ8tkToOEZHNeeabwyJw/hbx/LokqaNIojmf38q2LmWxsbGNvj5x4gRCQkKQkpKC6OhoODs7AwDCwsKQlpYGAG0+ZopOp4NOpzN+rdVqb+4HYaP83J1wV3hn/JCUh493n8YH0wZIHYmIyGbkXKzEz0fPAQAeGxYscRrLJ+nEbb1ej6VLl+Kpp56CVqtFcPBfO0wmk0GhUKCkpKTNx0xZvHgx1Gq18REQwIluLfXEbfWLS/6Seg5ninmrEiKitrJqXzbqDAK3hnRAn85qqeNYPElL0ksvvQRXV1c88cQTUCqVcHBofOdhR0dHVFZWtvmYKQsXLoRGozE+cnJyWrrZNq+XrxtG9PSGQQCf7uGNb4mI2oKmqgbfHqxf0Je3IGkayUrSb7/9ho8++gjffPMN7Ozs4OnpicLCxlc8lZWVwd7evs3HTHFwcICbm1ujB7XcE8P/ulVJcbnuBq8mIqKb9eUf2ajQ16FnRxWGd+8gdRyrIElJOn36NKZNm4YVK1YgNDQUABAVFYWEhATja7Kzs6HT6eDp6dnmY2R+g7t6IcxfDV2tAV/8cUbqOERE7VqVvg6r9mUDAJ4c0Y23IGmiNi9JVVVViI2Nxd13342JEyeivLwc5eXlGDZsGDQaDdasWQMAWLJkCWJiYqBQKDB8+PA2HSPzk8lkmDW8GwBgzR/ZqNTXSpyIiKj9Wp+Yg+IKPfw9nBAbxluQNFkbXG3XSFxcnABw1SMrK0vExcUJJycn4ePjI7y8vERqamqj97Xl2I1wCYCbV1tnEMPejheB87eI1fuypI5DRNQu6WvrxJDFv4vA+VvEmv1ZUseRXHM+v2VCWNYy03l5eUhMTMSQIUPg7e0t6dj1aLVaqNVqaDQazk+6CV8mnMHLG1Ph7+GEnf8YASXvH0RE1KriknLxwrcp6OBqj73zb4ejnW2fMWnO57fFlSRrwZLUOqpr6jBkSTwuVujxvwcicFd4Z6kjERG1GwaDwLj3diPjQjnmje2Jp0eGSB1Jcs35/OY/20lSjnYKTB8cBABYsfMU759HRNSK4o8XIONCOVwdlHgwOlDqOFaHJYkkN31IIJztFUg/p8XOE7zxLRFRaxBC4MOdmQCAadFdoHbijWybiyWJJOfubG/8F87yHZk8mkRE1AoOZF3E4bOlsFfK8ehQ3oKkJViSyCI8dmsw7JVyHDpTgj+zLkodh4jI6q3YdQoAMDnSHz5ujhKnsU4sSWQRfNwccd9AfwDABzsyJU5DRGTdjuVrsPNEIeQyYBZvQdJizS5J77zzDmpqaho9Fx8fjxEjRrRWJrJRs4Z3g0Iuw56TRUjJKZU6DhGR1fpo12kAwPiwzgj0cpE4jfVqdklauHAhqqqqGj0XGhqKAwcOtFoosk0Bns6Y2L9+CQAeTSIiapkzxRX46Ug+AGD2bTyKdDOUTX3h7t27AdTPlt+3bx9cXFyMX2/duhU9evQwT0KyKU+N6Ia4pDxsS7uAjAtl6NFRJXUkIiKrsnL3aRgEMKKnN/p0Vksdx6o1uSRNnz4dQP09t2bPng25vP4glFwuR/fu3fHll1+aJyHZlBAfFcb18cUvqefx4Y5MLLs/QupIRERW47ymGt8n5gIAnrytm8RprF+TS1JWVhaA+lJ09OhRrjJNZvPUiBD8knoeP6bkY+7onuji5Sx1JCIiq7By9yno6wyICvLALcGeUsexes2ekzR27FjY2XFBKjKffv5q3NbDGwbx1yWsRER0fQVl1fjmz7MAgGdHdYdMJpM4kfVrdkn65Zdf4OTkZI4sREYN9xfacCgX5zXVEqchIrJ8n+7Jgq7WgP4B7rg1pIPUcdqFZpekrKwsTJs2DUIIJCYmIiwsDP369cO+ffvMkY9s1C3BnrglyBP6OgM+2XNa6jhERBbtYoUeXyWcAQA8OyqER5FaSbNL0sMPPww3NzfIZDK88MILGD9+PO666y489dRT5shHNuypkfWTDr/58ywuVuglTkNEZLk+23salfo69PVzw8iePlLHaTdkopk3ynJxccHJkyfh5uaGTp06oaSkBIWFhQgJCUFFRYW5clocrVYLtVoNjUbDSexmIoTAhOV7kZqnxdMju2He2F5SRyIisjillXrc+vYOlOtqsfKhSIzt4yt1JIvWnM/vZh9JCgwMxLfffov3338fgwcPhlKpRHx8PAIDA1scmMgUmUyGZ0Z2BwB8sf8MSit5NImI6Eqr9mWjXFeLXr4qjO7dUeo47UqTlwBosGzZMkyfPh3Ozs5Yu3Yt4uPj8dhjj+Hrr782Rz6ycWNCO6J3Jzekn9Pis71Z+PuYnlJHIiKyGGXVNVi1r36JnmduD4FczrlIranZJWnMmDE4d+6c8evKykoUFhbC1dW1VYMRAYBcLsNzo7pj9leHsGpfNh69NRjuzvZSxyIisghr/jgDbXUtQnxccUffTlLHaXeafbqtwYEDB7BhwwYcO3aMBYnMakxoR/TyVaFcV4vP9mZJHYeIyCJU6Grx6aWrf58ZGQIFjyK1umaXpLy8PAwcOBCjR4/GSy+9hJiYGERFRSE/P98c+Yggl8vwfEz93KTV+7I5N4mICMBXCWdQUlmDIC9nxIbxKJI5NLskzZo1CwMHDkRhYSHS09Nx4cIFDBgwAI8//rg58hEBAMaE+qKXrwplulp8zqNJRGTjqvR1xjXknh4ZAqWixSeG6Dqa/VPdu3cvFi1aBHv7+nkhjo6OWLRoEReTJLNqmJsE1F/JoamskTgREZF0vjlwFkXlevh7OOHuCD+p47RbzS5J/fr1wxdffNHouS+++AJ9+/ZttVBEpozt89fRpM/28WgSEdmmKn0dVuysv6/lUyNCYMejSGbT7KvbVqxYgbFjx+Lrr79GcHAwTp8+jbKyMmzbts0c+YiMGo4mPfn1Yazam4VHhwZD7cybLRORbfkq4QyKynXw93DC5Eh/qeO0a80uSX379kVGRgY2b96MnJwczJgxA+PHj4eLi4s58hE10nA06fj5Mny2LwtzR/eQOhIRUZup0NVixa76o0jP3t4d9koeRTKnZv9009LSMGzYMCgUCsybNw9vvPEGBg0ahIyMDHPkI2pELpfhWePcpCxoqjg3iYhsx+r92bhYoUeQlzMmDeBcJHNr0dVtt99+O8aMGQMASEhIQGxsLGbPnt3q4YhMGdfHFz07qlBWzSvdiMh2aKtr8PHu+ivanovpziva2kCzf8LJycn4+9//DrVaDaD+hrdz5szBoUOHWj0ckSlyuQzPXVo36fN9WbzSjYhswqq92dBU1aCbtwvuCudRpLbQoqvbvvzyy0bPffnll+jTp0+rhSK6kcuPJjWsFUJE1F5pKmvw6d76/9c9H9ODq2u3kWZP3P7ggw9wxx134IsvvkBQUBCysrJQUlKCrVu3miMfkUlyuQwvjO6B2V8dwuf7sjBjaBA6uDpIHYuIyCw+2XMaZdW16OWrwvh+XF27rTS7JEVERODkyZPYsmULcnNz8dBDD2H8+PFQqVTmyEd0TWP7dESYvxpHcjVYsfMUXo4NlToSEVGru1ihx6pLa8M9H9MDch5FajPNLkkAoFKp8MADD7R2FqJmkclk+PuYnpj++QF8mXAGjw0LRie1k9SxiIha1crdp1Chr0Ofzm4Y26ej1HFsCqfGk1Ub3r0Dbgn2hL7WgPfjM6WOQ0TUqgrLdFiz/wwAYO7oHpDJeBSpLbEkkVWTyWSYN7YnAGD9wRycKa6QOBERUev5aNcpVNXUITzAHbf38pE6js1hSSKrFxXkidt6eKPWILBs+0mp4xARtYoL2mp8lcCjSFJiSaJ24R9j6o8mbUzOQ8aFMonTEBHdvPfjT0JXa8DAQA8M795B6jg2SbKSVFxcjODgYGRnZxufmzNnDmQymfEREhJiHEtNTUVUVBQ8PDwwb948CCHMOkbWpZ+/GuP6+EII4P+28RY5RGTdsosqsO5ADgBg3tiePIokEUlKUlFREWJjYxsVJAA4dOgQfvrpJ5SUlKCkpARJSUkAAJ1OhwkTJiAyMhKJiYlIS0vD6tWrzTZG1mnumB6QyYCtx87jSG6p1HGIiFrsP79loNYgMKKnNwZ19ZI6ju0SEhg1apRYtmyZACCysrKEEELU1NQIlUolysrKrnp9XFyc8PDwEBUVFUIIIZKTk8XQoUPNNtYUGo1GABAajaYFPwEylxfWJYnA+VvEQ5/9KXUUIqIWOZpbKgLnbxGB87eIY3n8jGltzfn8luRI0scff4znnnuu0XNHjhyBEAL9+/eHk5MTxo0bh7NnzwIAUlJSEB0dDWdnZwBAWFgY0tLSzDZmik6ng1arbfQgy/N8TA8o5TLszijEgayLUschImq2d349AQCY2L8zQju7SZzGtklSkrp27XrVc+np6ejTpw/Wrl2LtLQ02NnZYdasWQAArVaL4OBg42tlMhkUCgVKSkrMMmbK4sWLoVarjY+AgICb/jlQ6+vi5Yz7our3zbu/Huc8MyKyKvtPFWF3RiGUchn+Prqn1HFsnsVc3TZt2jQkJCQgKioKwcHBWL58ObZt2watVgulUgkHh8b35XJ0dERlZaVZxkxZuHAhNBqN8ZGTk9MKW03m8Ozt3eGglONgdgnijxdIHYeIqEmEEHh7a/1RpKmDuqCLl7PEichiStKV3N3dYTAYcO7cOXh6eqKwsLDReFlZGezt7c0yZoqDgwPc3NwaPcgy+aodMWNoEABgyS/HUVtnkDYQEVET/HrsPFJySuFsr8Cc27tLHYdgQSVp7ty5WL9+vfHrgwcPQi6XIyAgAFFRUUhISDCOZWdnQ6fTwdPT0yxjZP2eui0Eaic7nCwox4bDuVLHISK6rto6A969NBfp0VuD4a1yuME7qC1YTEnq378/Fi1ahN27dyM+Ph5z5szBjBkz4OzsjOHDh0Oj0WDNmjUAgCVLliAmJgYKhcIsY2T91M52mHN7/Tpb//dbBqr0dRInIiK6tg2Hc3GqsAIeznZ4fPjV83ZJIua+1O56cNkSAEIIsWDBAuHu7i4CAgLEs88+K8rLy41jcXFxwsnJSfj4+AgvLy+Rmppq1rEb4RIAlq+6plYMWfy7CJy/RSyPPyl1HCIik6r0tSL6re0icP4W8cnuU1LHafea8/ktE8J6Lv/Jy8tDYmIihgwZAm9vb7OPXY9Wq4VarYZGo+H8JAsWl5SLF75NgcpBiV0vjoSni+k5Z0REUvl49ym89fNxdFY7Iv4fI+BoxzMa5tScz2+rKkmWhCXJOhgMArHv70XaOS1mDg3CKxP6SB2JiMhIU1WD297dgdLKGrwzOQz3DeTyMubWnM9vi5mTRGQOcrkMC+/sBQD4KuEMzhabXuKBiEgKH+7IRGllDUJ8XDEpwk/qOHQFliRq94Z198aw7h1QUyewdNsJqeMQEQEAci5WYtW+bADAP+/sBaWCH8mWhnuEbML8cfVHk35MycfRXI3EaYiIgLe3Hoe+zoChIV4Y2dNH6jhkAksS2YS+fmrcc+lQ9uJf0nm7EiKS1OGzJdhy5BxkMmDRnaGQyWRSRyITWJLIZswd3QP2Cjn2nyrGrozCG7+BiMgMhBB4c0v9DdUnD/DnTWwtGEsS2YwAT2c8PDgQALD4Z96uhIik8fPR8zh8thROdgr8fQxvYmvJWJLIpjxze/3tSk5cKMO3ibxJMRG1LV1tHd7eehwA8PjwrvBVO0qciK6HJYlsiruzPV6Iqb9x5H+2ZUBbXSNxIiKyJV/+cQZnL1bCW+WAWbz9iMVjSSKbMy06EN28XXCxQo/l8ZlSxyEiG1FSocf/fj8JAPjHmB5wcVBKnIhuhCWJbI6dQo6XxocCAFbty0J2UYXEiYjIFvwv/iS01bXo5avC5EiurG0NWJLIJo3o6Y3hPbxRUyfw1s/pUschonYuq6gCX/5xBgCwaHxvKOS85N8asCSRTZLJZHjp0v+otqVdwP7MIqkjEVE7tuSXdNQaBEb09Maw7k2/mTpJiyWJbFaPjipMG9QFAPD6ljTUGbjAJBG1vv2ZRfj12AXIZcA/7+wtdRxqBpYksmnPx/SAm6MSx8+XYT2XBCCiVlZbZ8Crm48BAB6KDkSPjiqJE1FzsCSRTfN0scdzMT0AAEt/PcElAYioVX2VcAYZF8rh4WyHF0b3kDoONRNLEtm8h6ID0bWDC4or9PhgB5cEIKLWUVyuw//9lgEA+MfYnnB3tpc4ETUXSxLZPHulHIvG188TWLU3G2eKuSQAEd28pdsyoK2uRWgnN9wf1UXqONQCLElEAG7v5YNh3TtAX2fAG1u4JAAR3ZzUPA3WHTwLAHhtYh9e8m+lWJKIUL8kwMuxoVDKZdiefgE7jhdIHYmIrJQQAq/+eAxCAHeFd0ZUkKfUkaiFWJKILunRUYWZQ4MAAK9uPobqmjppAxGRVfoxJR+JZ0rgZKfAwjt7SR2HbgJLEtFlnovpAR+VA84UV+KT3aeljkNEVqZCV2tcxf+Z20PQSe0kcSK6GSxJRJdxdVAaJ3F/sDMTORcrJU5ERNbkgx2ZuKDVoYunMx69NVjqOHSTWJKIrnBXeGcMCvZEdY0Bb2xJkzoOEVmJ7KIKfLonCwDwcmwoHO0UEieim8WSRHQFmUyG1yf2Nd7XbecJTuImousTQuD1LWnQ1xkwvIc3Ynr7SB2JWgFLEpEJPX1VmDEkCADw6o/HoKvlJG4iurZfj11A/PEC2Clk+FdsKGQyXvLfHrAkEV3D8zHd4a1yQHZxpfEQOhHRlSp0tXjt0v3ZZg3vhhAfV4kTUWthSSK6BpWjHRZdumP3+/EnkVvCSdxEdLVl2zNwTlONLp7OeOb2EKnjUCtiSSK6jon9O+OWS5O43+RK3ER0hfRzWny+LxtA/cranKzdvrAkEV1H/STu+lsKbD12Hjs4iZuILjEYBBbFHUWdQeDOfr4Y2ZOTtdsbliSiG+jl64aZlyZxv7wxFZX6WmkDEZFF+DYxB4fPlsLFXoF/xfaROg6ZAUsSURO8MLoH/NydkFtShfe2n5Q6DhFJrKhchyW/HAcAzB3TE75qR4kTkTmwJBE1gYuDEq9PrP+X4qd7s3AsXyNxIiKS0uKfj0NTVYPQTm6YPjhQ6jhkJixJRE00qndHjO/XCXUGgYU/1M9DICLbk3C6GBsO50ImA/59T18oFfwoba+4Z4ma4ZUJoVA5KnEkV4M1f2RLHYeI2pi+1oCXNqYCAKbe0gURXTwkTkTmxJJE1Aw+bo5YcEcvAMDSX08gv7RK4kRE1JY+3n0KmQXl6OBqjxfH9pI6DpkZSxJRMz0Q1QUDAz1Qoa/DvzYdgxA87UZkCzILyvC/3zMBAC+ND4Xa2U7iRGRukpWk4uJiBAcHIzs72/hcamoqoqKi4OHhgXnz5jX68GnrMaJrkctleGtSP9gpZNiefgG/HjsvdSQiMrM6g8CL3x+Bvs6AkT29MbF/Z6kjURuQpCQVFRUhNja2UUHS6XSYMGECIiMjkZiYiLS0NKxevVqSMaIb6dFRhdm3dQMAvPLjMWirayRORETm9OUf2Th8thSuDkr8+55+vIGtrRASGDVqlFi2bJkAILKysoQQQsTFxQkPDw9RUVEhhBAiOTlZDB06VJKxptBoNAKA0Gg0N/OjICtWpa8VI97dIQLnbxEvxR2VOg4RmcnZ4grR++VfROD8LeLLP7KljkM3qTmf35IcSfr444/x3HPPNXouJSUF0dHRcHZ2BgCEhYUhLS1NkjFTdDodtFptowfZNkc7Bf59T18AwFd/nsGBrIsSJyKi1iaEwD/jjqJSX4dbgj0x9ZYuUkeiNiRJSeratetVz2m1WgQHBxu/lslkUCgUKCkpafMxUxYvXgy1Wm18BAQE3NTPgNqHId064G8DAyAE8OL3KajS10kdiYha0feHcrHnZBEclHK8fW8Y5HKeZrMlFnN1m1KphIODQ6PnHB0dUVlZ2eZjpixcuBAajcb4yMnJaemmUjuzKLY3OqkdkV1ciXd/PSF1HCJqJQVl1XhjS/0ZhrmjeyC4g4vEiaitWUxJ8vT0RGFhYaPnysrKYG9v3+Zjpjg4OMDNza3RgwgA3BztsHhSPwDAqv1ZOJjN025E7cErm45BW12Lfn5qPHpr8I3fQO2OxZSkqKgoJCQkGL/Ozs6GTqeDp6dnm48RNdeInj64b6A/hADmfcfTbkTW7pej5/BL6nko5TK8fW8Ybz1ioyxmrw8fPhwajQZr1qwBACxZsgQxMTFQKBRtPkbUEovGh8LXrf6029JtPO1GZK1KK/V4edMxAMCTI7ohtDPPHNgqmRDSraAok8mQlZWFoKAgAMDGjRsxdepUqFQq1NXVYdeuXejTp48kYzei1WqhVquh0Wh46o2MdpwowMxVByGTAetnDUZUEI9MElmbOWuTsDklHyE+rvjp2VvhoOQ/ntuT5nx+S1qSTMnLy0NiYiKGDBkCb29vSceuhyWJrmXedyn47lAugju44Odnh8HJnv+DJbIWm1PyMWdtEhRyGX54cgjCA9yljkStzKpLkrVgSaJr0VTVYOx/d+O8thqP3RqMl2JDpY5ERE1wQVuNsct2o7SyBs+N6o4XRveQOhKZQXM+vy1mThJRe6F2+utqt8/2ZSGRV7sRWTwhBOZvOILSyhr081PjmdtDpI5EFoAlicgMRvbyweTI+qvd/vFdCip0tVJHIqLrWHsgBztPFMJeKcf/3RcOO17NRmBJIjKbl2NDjYtMvvnTtW95Q0TSOlNcYfw7+uLYnujeUSVxIrIULElEZqJ2ssN/7guHTFb/r9Rtx85LHYmIrlBnEPjHdymo1NdhULAnHhnKRSPpLyxJRGY0pFsHPDGs/l6FC344ioKyaokTEdHlPt1zGgezS+DqoMTSKeG8Nxs1wpJEZGZzx/RA705uuFihx7zvjoAXlBJZhuPntfjPtgwAwL9iQxHg6SxxIrI0LElEZuagVOC9+/vDQSnHroxCrPnjjNSRiGyerrYOL3ybAn2dATG9fTBloL/UkcgCsSQRtYEeHVVYeEcvAMBbP6fj5IUyiRMR2bZ3t55A+jktPJzt8NakfpDJeJqNrsaSRNRGpg8JwvAe3tDVGvDcumToaw1SRyKySTtPFODTvVkAgHcnh8NH5ShxIrJULElEbUQmk2Hp5DB4ONsh7ZwW//mNN8ElamuFZTr847sUAMD0wYGICe0ocSKyZCxJRG3Ix80RiyeFAQA+3n0a+08VSZyIyHYYDALzvk9BUbkePTuqsPDO3lJHIgvHkkTUxsb19cXfBgZACOCFb5NRXK6TOhKRTVi9Pxs7TxTCQSnH/x6IgKMdbz5N18eSRCSBf00IRTdvF1zQ6vD371JgMHBZACJzOpavwZJfjgMAXhrfGz19uao23RhLEpEEXByUWD51AByUcuw8UYhP956WOhJRu1Wuq8Uz3yRduty/Ix6MDpQ6ElkJliQiifTu5IZXJvQBALyz9QQOny2ROBFR+yOEwMIfjiKrqAKd1Y54d3IYL/enJmNJIpLQA7cEYHxYJ9QaBOZ8kwRNZY3UkYjalW8OnMXmlHwo5TK8P3UAPFzspY5EVoQliUhCMpkMiyf1QxdPZ+SVVuHFDSm8bQlRKzmWr8Frm9MAAC+O64nIQA+JE5G1YUkikpibox2WT42AnUKGX49dwGeXFrkjopYrq67B018fhr7WgFG9fPDYrV2ljkRWiCWJyAKE+bvjpfGhAIAlvxzHweyLEicisl4N85Cyiyvh5+6E/9wXDrmc85Co+ViSiCzEw4MDcVd4Z9QaBJ7++jAKy7h+ElFLrNqXjS1HzkEpl+F/D0TA3ZnzkKhlWJKILETD/KTuPq4oKNNhztrDqK3j/d2ImuNA1kW89XM6AOCfd/bmPCS6KSxJRBbExUGJFQ9GwsVegYTTF7F0W4bUkYisxgVtNZ76+jBqDQIT+3fGzKFBUkciK8eSRGRhQnxc8c7kcADAR7tO4ddj5yVORGT59LUGPPX1YRSV69DLV4XFk/pxPSS6aSxJRBZofFgnPHprMABg7rfJOHmhTOJERJbtrZ/TcehMCVSOSnz0YCSc7ZVSR6J2gCWJyEItuKMXort6okJfh8fXJHKhSaJr+OFwLlbvzwYA/Pe+/gjq4CJtIGo3WJKILJSdQo4Ppg6An7sTsosr8ey6JNTxRrhEjSTnlGLBD0cBAHNuD0FMaEeJE1F7wpJEZMG8XB3w8cORcLSTY1dGId759bjUkYgsxgVtNZ5Ykwh9rQExvX3wQkwPqSNRO8OSRGTh+nRW491LE7lX7jqNTcl5Eicikl51TR2eWJOIgjIdenR0xX//1p8LRlKrY0kisgITwjtj9m3dAADzNxxBSk6ptIGIJNSwonZKrgbuznb45OGBUDnaSR2L2iGWJCIrMW9sT4zs6Y3qGgMeW5OI/NIqqSMRSWLl7tOIS8qDQi7Dh1MHINCLE7XJPFiSiKyE4tItFnp2VKGwTIfHvkhEha5W6lhEberXY+fx9tb6uXmvTAjFkJAOEiei9owliciKqBzt8On0gejgao+0c1o8ty6ZV7yRzTiSW4rn1iVBCGDaoC54KDpQ6kjUzrEkEVmZAE9nrHxoIOyVcmxPv4Alv6RLHYnI7HJLKvHoF4morjHgth7eeO2uPlxRm8yOJYnICkUGemDplPor3j7Zk4Wv/zwjcSIi89FW1+DR1YkoLKu/5cjyqRFQKvjxRebH3zIiK3VXeGfjujAvb0zF7+kXJE5E1Ppq6gx4+uvDOHGhDD4qB3w+I4pXslGbYUkismLPjgrBlEh/GATw9DeHkXS2ROpIRK1GCIGX4lKx52QRnOwU+HxGFDq7O0kdi2yIxZWkOXPmQCaTGR8hISEAgNTUVERFRcHDwwPz5s2DEH9NVjXHGJE1kMlkeGtSP9zWo35pgEe/SERWUYXUsYhaxX+2ZeDbxBzIZcD7D0Sgr59a6khkYyyuJB06dAg//fQTSkpKUFJSgqSkJOh0OkyYMAGRkZFITExEWloaVq9eDQBmGSOyJnYKOT6cNgD9/NS4WKHHjFUHUFSukzoW0U35Yn82lu/IBAC8dU8/3pONpCEsSE1NjVCpVKKsrKzR83FxccLDw0NUVFQIIYRITk4WQ4cONdtYU2g0GgFAaDSam9hiotZToK0Wt779uwicv0VMeH+PKKuukToSUYtsSckXQQu2iMD5W8R72zOkjkPtTHM+vy3qSNKRI0cghED//v3h5OSEcePG4ezZs0hJSUF0dDScnZ0BAGFhYUhLSwMAs4yZotPpoNVqGz2ILIm3ygFfzLwFni72OJKrwRNrElFdUyd1LKJm2X+qCC98mwwhgIeiAzHn9hCpI5ENs6iSlJ6ejj59+mDt2rVIS0uDnZ0dZs2aBa1Wi+DgYOPrZDIZFAoFSkpKzDJmyuLFi6FWq42PgIAAM/wEiG5OV29XrJoRBRd7BfafKsactUmorTNIHYuoSY7klmLWmkPQ1xkwro8vXuVaSCQxiypJ06ZNQ0JCAqKiohAcHIzly5dj27ZtMBgMcHBwaPRaR0dHVFZWQqlUtvqYKQsXLoRGozE+cnJyWmGLiVpfeIA7Pp0eBXulHL+lXcCL3x+Bgatyk4U7cb4MD39+AGW6WgwK9sSy+/tDIWdBImlZVEm6kru7OwwGA3x9fVFYWNhorKysDPb29vD09Gz1MVMcHBzg5ubW6EFkqQZ388KHUwdAIZfhh6Q8vL4ljVdvksXKKqrAg5/9idLKGvQPcMdnM6LgaKeQOhaRZZWkuXPnYv369cavDx48CLlcjn79+iEhIcH4fHZ2NnQ6HTw9PREVFdXqY0TtQUxoR/xnSjhkMmD1/mws3XaCRYksTl5pFR789E/jatpfzLwFrg5KqWMRAbCwktS/f38sWrQIu3fvRnx8PObMmYMZM2ZgzJgx0Gg0WLNmDQBgyZIliImJgUKhwPDhw1t9jKi9uDvCD6/f1QcA8MGOU1i2/aTEiYj+UlBWjQc//RN5pVXo6u2CLx8dBLUzV9MmyyETFvZPy4ULF+Kjjz6CSqXCPffcg7feegsuLi7YuHEjpk6dCpVKhbq6OuzatQt9+tT/z98cYzei1WqhVquh0Wh46o0s3qd7TuPNn+pvhDt3dA88O6q7xInI1hWUVeOBjxNwqrAC/h5O+G72YHRSczVtMr/mfH5bXEm6nry8PCQmJmLIkCHw9vY2+9j1sCSRtVm56xQW/3IcADBvbE88PZKXVpM0CrTVeOCT+oLUWe2IdU8MRhcvZ6ljkY1otyXJkrAkkTX6cGcm3tl6AgCw4I5emH1bN4kTka0p0Fbj/k8ScJoFiSTSnM9vi5qTRETm9dSIEPx9dA8AwJJfjmN5POcoUdu5vCD5uTuxIJHFY0kisjFzRnXH3EtFaem2DLyz9TiveiOzyy+twv0fX16QolmQyOKxJBHZoGdHdceiO3sDAD7ceQqvbeY6SmQ+WUUVmPLRHzhd9FdBCvBkQSLLx5JEZKMeH94Vb0ysv5pz9f5s/DPuKOq4Mje1svRzWkz56I/6y/w7uGD97MEsSGQ1WJKIbNhDg4Pw7uQwyGXA2gM5eP7bZOhrea83ah2Hz5bgbyv/QFG5Dr07ueHbWYPh587L/Ml6sCQR2bgpAwPw3v0RUMpl2JySj0dWH0S5rlbqWGTl9p4swoOf/gltdS0iAz2w7oloeKscbvxGIgvCkkREmBDeGZ/PiIKzvQJ7M4tw/8d/oLBMJ3UsslI/HM7FjFUHUKmvw7DuHfDlo7dA7cSVtMn6sCQREQBgeA9vrH08Gl4u9kjN02LyR/txprhC6lhkRYQQ+GBHJuauT0GtQWBCeGd8On0gnO15LzayTixJRGQUHuCO758cggBPJ5wprsS9K/Yj6WyJ1LHICtTWGfDSxlS8+2v9YqVPDO+K9/7WHw5K3g+TrBdLEhE1EtzBBRueHILQTm4oKtfj/o8TsOVIvtSxyIJV6Gox+6tD+PrPs5DJgFcmhOKfd/aGXC6TOhrRTWFJIqKr+KgcsX72YIzq5QNdrQHPfJOE//1+kmsp0VVyS+qPOG5PL4C9Uo4Ppw7AzKHBUsciahUsSURkkquDEh8/PBCP3lr/gfd/v2Vg7voU6GrrJE5GluJg9kVMXL4Px8+XoYOrA9Y+Ho07+nWSOhZRq2FJIqJrUshleDk2FP++py8UchnikvLwt5UJOKepkjoaSey7xBxM/SQBxRV6hHZyw6ZnhiIy0EPqWEStiiWJiG5o2qBAfDHzFrg5KpGcU4oJ7+/Fn6eLpY5FEtDXGvDa5mOY9/0R1NQJ3NHXF98/yUUiqX1iSSKiJrm1ewdsnnMrevmqUFSux7RP/8SqfVmcp2RDzmuq8cAnCVi1LxsA8OztIfhg6gBe4k/tFksSETVZoJcLfnhqCO4K74xag8Brm9PwwrfJqOAK3e3e/swijP/fHhw6UwKVoxKfPDwQc8f05BVs1K6xJBFRszjbK/He/f3xcmwoFHIZNibnY8L7e3EsXyN1NDIDg6F+gcgHP/sTxRV69O7khi1zbsXo0I5SRyMyO5YkImo2mUyGR28NxjePDUJHNwecLqrAPR/ux5o/snn6rR05r6nGg5/9iXd/PQGDAKZE+iPuqSEI9HKROhpRm5AJ/h+tRbRaLdRqNTQaDdzc3KSOQySZixV6zPsuBb8fLwAAjAntiHcmh8Hd2V7iZHQzfj12HvM3HEFpZQ2c7BR47a4+uC8qQOpYRDetOZ/fLEktxJJE9BchBFbty8biX9JRUyfQ0c0BS+4Nw8iePlJHo2aq0tfhjZ/S8M2fZwEAff3c8N79Eejm7SpxMqLWwZLUBliSiK52NFeD59Yl4XRR/Y1xH7glAIvGh8LVgVc/WYM/Txdj/oYjyC6uBADMGt4Vfx/TE/ZKzsyg9oMlqQ2wJBGZVqWvw7u/nsDn+7IAAP4eTnh3cjgGd/OSOBldS6W+Fu9sPYHV+7MBAL5ujlg6JRy3du8gbTAiM2BJagMsSUTX98epYsz7PgW5JfWrc98fFYAFd/TiXCULs/9UEeZvOIKci/X76W8DA7AotjfcHO0kTkZkHixJbYAliejGynW1eOvndOP8Fi8Xe7wU2xt39/eDTMb1daRUWKbD4p/T8UNSHgDAz90Jiyf1w/Ae3hInIzIvlqQ2wJJE1HQHsy9iUdxRZFwoBwAMDfHC6xP7cjKwBGrrDPgq4Qz+sy0DZbpayGTAtEFdsOCO3pw7RjaBJakNsCQRNY++1oBP9pzG/34/CV2tAUq5DA8NDsRzo7rzFFwbOZB1Ea/+eAxp57QAgH5+arx5d1+EB7hLG4yoDbEktQGWJKKWOVtcidc2HzOuq6R2ssPzMd3xYHQg7BS8isocMgvK8fbW4/gt7QIAwM1RiXnjemHqLV2g4G1FyMawJLUBliSim7PnZCHe3JKOExfKAABdvV3wQkwPjO/XifcDayWFZTos256BdQdzUGcQkMuAv0V1wd/H9EAHVwep4xFJgiWpDbAkEd282joDvk3Mwf9ty0BxhR4A0MtXhRdG98CY0I6c3N1CReU6fLL7NL5MOINKfR0AIKa3Dxbc0QshPiqJ0xFJiyWpDbAkEbWesuoafL43G5/uOY0yXS2A+vkyc24PQUzvjjyy1EQFZdX4eNdpfPXnGVTXGAAA4f5qLLyzN6K7cp0qIoAlqU2wJBG1vtJKPT7Zcxqr9mUbj4B09XbB48O64p4IPzjaKSROaJkyC8qxen8WvkvMha72r3L0XEx3jOzpwyNyRJdhSWoDLElE5lNcrsOne7PwVcIZlFXXH1nq4GqPhwcH4f6oAPi4OUqcUHpCCOw5WYTP92Vh54lC4/MRXdzx3KjuuK2HN8sRkQksSW2AJYnI/Mp1tfj2YA4+35uFvNL6FaGVchlienfEA4O6YFhIB5s7FVdYpsPGpDx8m5iDzIL6dadkMiCmd0c8MjQY0V09WY6IroMlqQ2wJBG1nZo6A34+eg5f/nEGiWdKjM/7ezjh3gH+mBDeGSE+7XdhSn2tAbsyCrE+MQc7jheg1lD/v20XewXuiwrAjCFBCPRykTglkXVgSWoDLElE0jhxvgxrD5zFD4dzob10Kg4Aendyw4TwTojt1xldvJwlTNg6qmvqsPdkEX5OPYftaRcabWtEF3fcNzAAsWGdoOI91oiahSWpDbAkEUmrSl+HrcfOYXPKOezOKDQeXQGAEB9XjOzpjZE9fTAwyBP2SutYpDK/tAp7TxZh98lC7DxRiHLdX8Wog6sDJg3ww5RIf3TvyMv4iVqKJakZUlNTMXPmTGRmZuKxxx7DO++806Tz+SxJRJajpEKPX4+dx48p+fgz6yLqLitMLvYKRAV7IirIE5GBHugf4G4RV8kJIZBXWoXknFIczLqIPZlFOF1Y0eg1vm6OGNfXF3f09cXAIE+ujk3UCliSmkin06FXr14YO3Ys5s2bh2effRaTJ0/GzJkzb/heliQiy6SprMGezELsOF6IXRkFKCrXNxq3U8gQ2skNvTu5oaevCr183dDLVwUPF/PdP05fa0B2cQVOFZQjs6AcKbkaJOeUoqhc1+h1chkQHuCOYSEdMKKXD/r7u9vcxHQic2NJaqKNGzfikUceQW5uLpydnZGSkoKnn34ae/fuveF7WZKILJ/BIJB2TosDWRdx6EwJDmZfREGZzuRr1U528HN3Qmd3J/h7OMFX7Qh3Jzuonezgdum/9ko55DJALpNBLpNBAKjU16JCV4cKfS0qdLUoLtfjgrYa57XVKNDqkFdahbMXKxsd3WqglMvQq5MKEQEeGBrihcFdO0DtzDlGRObUnM9vZRtlskgpKSmIjo6Gs3P9JM+wsDCkpaWZfK1Op4NO99f/XLVabZtkJKKWk8tl6OunRl8/NR65NRhCCOSWVCEltxQnzpfh+PkyHD+vRc7FKmiqaqCpqkHaOfP83XZ1UKKbjyu6ebsgtJMb+ge4o6+f2iJO/RGRaTZdkrRaLYKDg41fy2QyKBQKlJSUwMPDo9FrFy9ejNdee62tIxJRK5LJZAjwdEaApzNiw/56vkJXi7zSKuSWVCKvpAq5pVUo0OqgvVSctNX1/62pEzAIAYNBwCAAGQBnBwVc7JVwdlDA2U4JL1d7dHRzhI+bAzqqHNFJ7YhuPq7wUTlw/SIiK2PTJUmpVMLBofGdsB0dHVFZWXlVSVq4cCHmzp1r/Fqr1SIgIKBNchKRebk4KNGjowo9eNUYEV3GpkuSp6cnUlNTGz1XVlYGe/urJ3A6ODhcVaiIiIio/bKOxUPMJCoqCgkJCcavs7OzodPp4OnpKWEqIiIisgQ2XZKGDx8OjUaDNWvWAACWLFmCmJgYKBScSElERGTrbPp0m1KpxMcff4ypU6di3rx5qKurw65du6SORURERBbApksSANx99904efIkEhMTMWTIEHh7e0sdiYiIiCyAzZckAPDz84Ofn5/UMYiIiMiC2PScJCIiIqJrYUkiIiIiMoEliYiIiMgEliQiIiIiE1iSiIiIiExgSSIiIiIygSWJiIiIyASWJCIiIiITuJhkCwkhAABarVbiJERERNRUDZ/bDZ/j18OS1EJlZWUAgICAAImTEBERUXOVlZVBrVZf9zUy0ZQqRVcxGAzIz8+HSqWCTCZr1T9bq9UiICAAOTk5cHNza9U/2xK09+0D2v82cvusX3vfRm6f9TPXNgohUFZWhs6dO0Muv/6sIx5JaiG5XA5/f3+zfg83N7d2+8sPtP/tA9r/NnL7rF9730Zun/Uzxzbe6AhSA07cJiIiIjKBJYmIiIjIBJYkC+Tg4IBXXnkFDg4OUkcxi/a+fUD730Zun/Vr79vI7bN+lrCNnLhNREREZAKPJBERERGZwJJEREREZAJLEhEREZEJXCfJTJYsWYKtW7fe8HXFxcWIi4tDSEhIG6Qyn/a+vdy+eta6fc2RmpqKmTNnIjMzE4899hjeeeedVl8wtq1t2rQJL7zwAs6ePYvIyEisXr0avXv3xpw5c7B8+XLj67p164bMzEwJk7bMtbajvezL1atXY+bMmVc9v2rVKhw6dMhq92FxcTEGDhyIHTt2ICgoCMD1//5Jsj8FmcWqVaua9LrNmzeLkydPGr8+efKk8PDwuOp1O3fuFL169RJeXl7iP//5T5PH2kpzt/eVV14RAK567NixQwghRGxsbKPnR40aZb7wTdCS/Xm9bbCEfXa5lmzfypUrha+vr1AqlWL06NEiPz/f+DpL239NVV1dLYKCgsSsWbNEZmamuPPOO8Xnn38udaybkpmZKTw8PMS3334rzp8/L6ZMmSKGDBkihBBi8ODB4qeffhIlJSWipKREaLVaidO2jKntaE/7UqfTGbetpKRE5OTkiA4dOohTp05Z7T4sLCwU0dHRAoDIysoSQlz/759U+5MlyUxa8qFz+vRp0aNHD3Fldy0oKBBubm7itddeExkZGWLAgAEiPj7+hmNtqbnbW1VV1egvfUpKivD29halpaVCCCE6deokjh49ahwvLy83Y/oba8n+vNY2WMo+u1xzt2/Pnj3Cx8dH/PbbbyInJ0cMGzZMTJ061fg6S9t/TRUXFyc8PDxERUWFEEKI5ORkMXToUIlT3ZzNmzeLFStWGL+Oj48X9vb2oqamRqhUKlFWViZhupt3re1oj/uywb///W/xxBNPWPU+HDVqlFi2bFmjknS9fSbV/uScJAsyfvx4PPbYY1c9//XXX6NTp054+eWX0b17d/zrX//CZ599dsMxS+bo6Ah3d3fjY/ny5XjhhRegVquRm5sLIQT69u1rHHdxcZE6crNcbxusdZ9d7sSJE1ixYgViYmLg7++PmTNnIjExEcD1t93SpaSkIDo6Gs7OzgCAsLAwpKWlSZzq5sTGxmL27NnGr0+cOIGQkBAcOXIEQgj0798fTk5OGDduHM6ePSth0pa51na0x30JANXV1XjvvfewcOFCq96HH3/8MZ577rlGz11vn0m1P1mSLMiWLVswZcqUq55PSUnB7bffbjz3esstt+Dw4cM3HLMW+fn5iIuLw5w5cwAABw4cQF1dHfz9/eHi4oL7778fJSUlEqdsnuttQ3vYZ48++igmTZpk/Lrhgxew7v2n1WoRHBxs/Fomk0GhUFhN/hvR6/VYunQpnnrqKaSnp6NPnz5Yu3Yt0tLSYGdnh1mzZkkdsdmutR3tdV9+8803iI6ORlBQkFXvw65du1713PX2mVT7kyXJgpj6pQGu/sVxc3NDXl7eDcesxUcffYSpU6fC1dUVAJCRkYHIyEj8+uuvSExMRHZ2Nv75z39KnLJ5rrcN7WGfXa64uBgrV67EU089BcC6959SqbxqdV9HR0dUVlZKlKh1vfTSS3B1dcUTTzyBadOmISEhAVFRUQgODsby5cuxbds2aLVaqWM2y7W2w2AwtMt9+dFHHxmPDLaXfdjgen//pPq7yZJkBa785bj8F+N6Y9agrq4On3zySaPTAQsWLMAvv/yCPn36oHfv3nj77bfx/fffS5iy+a63Dda+z6701FNPYciQIRg/fjwA695/np6eKCwsbPRcWVkZ7O3tJUrUen777Td89NFH+Oabb2BnZ3fVuLu7OwwGA86dOydButbTsB2+vr7tbl9mZmYiMzMTMTExJsetfR9e7++fVH83WZKswJW/HJf/YlxvzBrs2LEDHTp0QO/eva/5Gnd3dxQVFUGn07VhstZ1+TZY+z673Oeff47du3fj888/v+ZrrGn/RUVFISEhwfh1dna2cZ9Zs9OnT2PatGlYsWIFQkNDAQBz587F+vXrja85ePAg5HI5AgICpIrZItfajn79+rW7fbl+/XrExsYaS2572YcNrvf3T6q/myxJVuDKX47k5GT4+fndcMwarF+/Hvfcc0+j5yZPntxomw4ePAhfX1+rupHj9bbB2vdZgwMHDuD555/HunXr0LFjR+Pz1rz/hg8fDo1GgzVr1gCoXz8qJiYGCoVC4mQtV1VVhdjYWNx9992YOHEiysvLUV5ejvDwcCxatAi7d+9GfHw85syZgxkzZhgnxlqL/v37m9yOMWPGtLt9uXXrVowcOdL49bW23dr2YYPr/f2T7O+m2a+fs1EtXScpKyvrqiUACgsLhaOjo4iPjxc1NTVi/Pjx4plnnrnhWFtq6fYGBARcdfn7a6+9JqKjo0VCQoLYvHmz8PX1Fa+//nprxm225m7f9bbBUvbZ5Zq7fefPnxc+Pj7izTffFGVlZcaHEJa5/5ojLi5OODk5CR8fH+Hl5SVSU1OljnRT4uLiTK5JlpWVJRYsWCDc3d1FQECAePbZZ61mqYYrXWs72tO+rKysFPb29iI9Pb3R89a+D3HZEgBCXH+fSbE/WZLMpDVLkhBCfPDBB8LOzk506NBBBAYGivPnzzdprK20ZHszMzOFQqG4ao0PvV4vHnnkEaFSqUS3bt3Ea6+9Jmpqalo7crM0d/tutA2WsM8u19zt++9//2vyg1cIy9x/zZWbmys2btwoCgoKpI5CN4n70vpcb5+19f6UCSGEeY9V2ab3338fGzZsuOHrKisrsX79euOS7NeTmZmJ9PR03HbbbXBzc2vyWFswx/Zakrben22tve8/IqKWYEkiIiIiMoETt4mIiIhMYEkiIiIiMoEliYiIiMgEliQiIiIiE1iSiIiIiExgSSIiIiIygSWJiIiIyASWJCKiS3r16oX4+Hhs3LgRMpkM5eXlmDdvHp599lmpoxGRBFiSiIguGTBgADIyMnD8+HEMHToUJ06cwMmTJxERESF1NCKSgFLqAEREliIiIgIZGRkoKSlBbGyssSQNGDBA6mhEJAEeSSIiuqShJOXl5WHYsGFIS0tDXl4eQkNDpY5GRBJgSSIiuiQiIgLp6ekwGAzo0aMHtm7dipCQENjZ2UkdjYgkwJJERHSJl5cXampq0KFDB3h7e+PUqVM81UZkw1iSiIguExERgR49egAAQkJCWJKIbJhMCCGkDkFERERkaXgkiYiIiMgEliQiIiIiE1iSiIiIiExgSSIiIiIygSWJiIiIyASWJCIiIiITWJKIiIiITGBJIiIiIjKBJYmIiIjIBJYkIiIiIhNYkoiIiIhM+H/hdzrII1wjBgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# plt.scatter(range(-100, 101), costs)\n",
    "plt.plot(range(-100, 101), costs)\n",
    "plt.title(\"cost function b=0 w=-100~100\")\n",
    "plt.xlabel(\"w\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "841fb8a0-6243-4ab8-a450-777a2d79cb0b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# w=-100~100 b=-100~100 的 cost\n",
    "import numpy as np\n",
    "\n",
    "ws = np.arange(-100, 101)\n",
    "bs = np.arange(-100, 101)\n",
    "costs = np.zeros((201, 201))\n",
    "\n",
    "i = 0\n",
    "for w in ws: \n",
    "  j = 0\n",
    "  for b in bs: \n",
    "    cost = compute_cost(x, y, w, b)\n",
    "    costs[i,j] = cost\n",
    "    j = j+1\n",
    "  i = i+1\n",
    "\n",
    "#costs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "4621675f-7729-40b5-80d1-33fd3926d1b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当w=[2], b=[8] 会有最小的cost:[2.87151515]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib as mpl \n",
    "from matplotlib.font_manager import fontManager\n",
    "\n",
    "fontManager.addfont(\"SimHei.ttf\")\n",
    "mpl.rc('font', family=\"SimHei\")\n",
    "\n",
    "plt.figure(figsize=(7, 7))\n",
    "ax = plt.axes(projection=\"3d\")\n",
    "ax.view_init(30, 60)\n",
    "ax.xaxis.set_pane_color((0, 0, 0))\n",
    "ax.yaxis.set_pane_color((0, 0, 0))\n",
    "ax.zaxis.set_pane_color((0, 0, 0))\n",
    "\n",
    "b_grid, w_grid = np.meshgrid(bs, ws)\n",
    "# https://wangyeming.github.io/2018/11/12/numpy-meshgrid/\n",
    "\n",
    "ax.plot_surface(w_grid, b_grid, costs, cmap=\"Spectral_r\", alpha=0.7)\n",
    "ax.plot_wireframe(w_grid, b_grid, costs, color=\"black\", alpha=0.1)\n",
    "\n",
    "ax.set_title(\"w b 对应的 cost\")\n",
    "ax.set_xlabel(\"w\")\n",
    "ax.set_ylabel(\"b\")\n",
    "ax.set_zlabel(\"cost\")\n",
    "\n",
    "w_index, b_index = np.where(costs == np.min(costs))\n",
    "ax.scatter(ws[w_index], bs[b_index], costs[w_index, b_index], color=\"red\", s=40)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(f\"当w={ws[w_index]}, b={bs[b_index]} 会有最小的cost:{costs[w_index, b_index]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fef777a-d80b-4b94-9dc2-c622f534d34e",
   "metadata": {},
   "source": [
    "# 梯度函数gradient_descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "64ed2669-e9cd-450e-9202-6fdcc27b4ed5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_gradient(x, y, w, b):   # 计算梯度\n",
    "  w_gradient = (x*(w*x+b -y)).mean()   #mean:求平均，此处代码为求偏导数\n",
    "  b_gradient = (w*x+b -y).mean()\n",
    "  return w_gradient, b_gradient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "72ab6c5f-82d5-4d06-a3dd-b2fe7080f67e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(x, y, w_init, b_init, learning_rate, cost_function, gradient_function, run_iter, p_iter=1000):\n",
    "  \n",
    "  c_hist = []\n",
    "  w_hist = []\n",
    "  b_hist = []\n",
    "  \n",
    "  w = w_init\n",
    "  b = b_init\n",
    "\n",
    "  for i in range(run_iter):\n",
    "    w_gradient, b_gradient = gradient_function(x, y, w, b)\n",
    "\n",
    "    w = w - w_gradient*learning_rate\n",
    "    b = b - b_gradient*learning_rate\n",
    "    cost = cost_function(x, y, w, b)\n",
    "\n",
    "    w_hist.append(w)\n",
    "    b_hist.append(b)\n",
    "    c_hist.append(cost)\n",
    "\n",
    "    if i%p_iter == 0:\n",
    "      print(f\"Iteration {i:5} : Cost {cost: .4e}, w: {w: .2e}, b: {b: .2e}, w_gradient: {w_gradient: .2e}, b_gradient: {b_gradient: .2e}\")\n",
    "\n",
    "  return w, b, w_hist, b_hist, c_hist\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "efe0683c-1c26-454b-9ca9-d7bab947d78f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_cost(x, y, w, b):\n",
    "  y_pred = w*x + b\n",
    "  cost = (y - y_pred)**2\n",
    "  cost = cost.sum() / len(x)\n",
    "\n",
    "  return cost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "5c6b6988-daa6-4db1-a825-30f270d48305",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration     0 : Cost  3.5355e+02, w:  1.09e-01, b:  1.81e-02, w_gradient: -1.09e+02, b_gradient: -1.81e+01\n",
      "Iteration  1000 : Cost  8.8106e+00, w:  3.03e+00, b:  2.02e+00, w_gradient:  2.00e-01, b_gradient: -1.33e+00\n",
      "Iteration  2000 : Cost  6.0039e+00, w:  2.85e+00, b:  3.18e+00, w_gradient:  1.53e-01, b_gradient: -1.02e+00\n",
      "Iteration  3000 : Cost  4.3582e+00, w:  2.72e+00, b:  4.08e+00, w_gradient:  1.17e-01, b_gradient: -7.80e-01\n",
      "Iteration  4000 : Cost  3.3933e+00, w:  2.62e+00, b:  4.76e+00, w_gradient:  8.97e-02, b_gradient: -5.98e-01\n",
      "Iteration  5000 : Cost  2.8275e+00, w:  2.54e+00, b:  5.29e+00, w_gradient:  6.87e-02, b_gradient: -4.58e-01\n",
      "Iteration  6000 : Cost  2.4958e+00, w:  2.48e+00, b:  5.69e+00, w_gradient:  5.26e-02, b_gradient: -3.50e-01\n",
      "Iteration  7000 : Cost  2.3013e+00, w:  2.43e+00, b:  6.00e+00, w_gradient:  4.03e-02, b_gradient: -2.68e-01\n",
      "Iteration  8000 : Cost  2.1873e+00, w:  2.40e+00, b:  6.23e+00, w_gradient:  3.09e-02, b_gradient: -2.05e-01\n",
      "Iteration  9000 : Cost  2.1204e+00, w:  2.37e+00, b:  6.41e+00, w_gradient:  2.36e-02, b_gradient: -1.57e-01\n",
      "Iteration 10000 : Cost  2.0812e+00, w:  2.35e+00, b:  6.55e+00, w_gradient:  1.81e-02, b_gradient: -1.20e-01\n",
      "Iteration 11000 : Cost  2.0582e+00, w:  2.33e+00, b:  6.66e+00, w_gradient:  1.39e-02, b_gradient: -9.22e-02\n",
      "Iteration 12000 : Cost  2.0447e+00, w:  2.32e+00, b:  6.74e+00, w_gradient:  1.06e-02, b_gradient: -7.06e-02\n",
      "Iteration 13000 : Cost  2.0368e+00, w:  2.31e+00, b:  6.80e+00, w_gradient:  8.12e-03, b_gradient: -5.41e-02\n",
      "Iteration 14000 : Cost  2.0322e+00, w:  2.30e+00, b:  6.85e+00, w_gradient:  6.22e-03, b_gradient: -4.14e-02\n",
      "Iteration 15000 : Cost  2.0295e+00, w:  2.30e+00, b:  6.88e+00, w_gradient:  4.76e-03, b_gradient: -3.17e-02\n",
      "Iteration 16000 : Cost  2.0279e+00, w:  2.29e+00, b:  6.91e+00, w_gradient:  3.65e-03, b_gradient: -2.43e-02\n",
      "Iteration 17000 : Cost  2.0269e+00, w:  2.29e+00, b:  6.93e+00, w_gradient:  2.79e-03, b_gradient: -1.86e-02\n",
      "Iteration 18000 : Cost  2.0264e+00, w:  2.29e+00, b:  6.95e+00, w_gradient:  2.14e-03, b_gradient: -1.42e-02\n",
      "Iteration 19000 : Cost  2.0261e+00, w:  2.29e+00, b:  6.96e+00, w_gradient:  1.64e-03, b_gradient: -1.09e-02\n",
      "Iteration 20000 : Cost  2.0259e+00, w:  2.29e+00, b:  6.97e+00, w_gradient:  1.25e-03, b_gradient: -8.35e-03\n",
      "Iteration 21000 : Cost  2.0258e+00, w:  2.28e+00, b:  6.98e+00, w_gradient:  9.60e-04, b_gradient: -6.39e-03\n",
      "Iteration 22000 : Cost  2.0257e+00, w:  2.28e+00, b:  6.98e+00, w_gradient:  7.35e-04, b_gradient: -4.90e-03\n",
      "Iteration 23000 : Cost  2.0257e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  5.63e-04, b_gradient: -3.75e-03\n",
      "Iteration 24000 : Cost  2.0256e+00, w:  2.28e+00, b:  6.99e+00, w_gradient:  4.31e-04, b_gradient: -2.87e-03\n"
     ]
    }
   ],
   "source": [
    "w_init = 0\n",
    "b_init = 0\n",
    "learning_rate = 1.0e-3\n",
    "run_iter = 25000\n",
    "\n",
    "w_final, b_final, w_hist, b_hist, c_hist = gradient_descent(x, y, w_init, b_init, learning_rate, compute_cost, compute_gradient, run_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "153b90fc-d21c-4474-869d-e4b7f1887508",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.plot(np.arange(0, 100), c_hist[:100])\n",
    "plt.title(\"iteration vs cost\")\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"cost\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "a2088e59-b197-4c18-9b78-19b1381f21c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1.写一段三百字以内的话总结梯度下降，需要自我调研\n",
    "# 2. 请生成（numpy）一个不少于200点的直线数据，在上面增加高斯噪声（三种不同的噪声）。\n",
    "    #请用LinearRegression来拟合，给出对后的结果。请分析不同的噪声变化对拟合的结果的影响 。（理论上噪声越大影响越大，但某情况下如何）"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "719e44d2-1801-4b6a-ae40-efd6ff6a1da0",
   "metadata": {},
   "source": [
    "# 梯度下降总结"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5913561-6086-46e4-bfba-c41e86422217",
   "metadata": {},
   "source": [
    "梯度下降是一种用来调整目标函数的小技巧，特别在机器学习和深度学习里头，用来找到模型参数。简单来说，就是不断调整参数，朝着减少误差的方向走，直到找到目标函数的最低点。\n",
    "\n",
    "拿线性回归来说，我们的目标是找到参数w和b，让模型预测的y和实际的y之间的差距尽可能小。我们的模型可以写成y=wx+b，这里的w和b就是我们要找的参数。\n",
    "\n",
    "如果我们用均方误差作为目标函数，可以写成L(w,b)=1/N∑(yi-(wxi+b))^2，这里的N是样本数，yi是实际值，wxi+b是预测值。\n",
    "\n",
    "为了找到这个函数的最小值，我们用梯度下降。首先，我们要算出这个函数对w和b的梯度，也就是偏导数。对于w，偏导数是-2/N∑xi(yi-(wxi+b))；对于b，偏导数是-2/N∑(yi-(wxi+b))。\n",
    "\n",
    "然后，我们用一个学习率a（通常是一个很小的正数）来控制每次调整的步长，更新参数。新的w和b的计算公式是：w新=w-a*偏导数w；b新=b-a*偏导数b。\n",
    "\n",
    "最后，我们重复这个过程，直到目标函数L(w,b)的值不再变，或者达到我们设定的迭代次数。\n",
    "\n",
    "这样，我们就能找到让线性回归模型预测误差最小的参数w和b。这就是梯度下降的一个简单例子。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fa48a86-4f5c-4ccc-b02f-31c8c48419fb",
   "metadata": {},
   "source": [
    "# 请生成（numpy）一个不少于200点的直线数据，在上面增加高斯噪声（三种不同的噪声）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "844993ca-7a17-461c-8c8a-f93f169ec502",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import cross_val_predict, train_test_split\n",
    "from sklearn import datasets\n",
    "from sklearn.datasets import fetch_california_housing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "e04f6a2a-7f58-479b-ab0f-bf6ddd9c14ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "A=3\n",
    "B=5\n",
    "\n",
    "X_data=[]\n",
    "\n",
    "y1_data=[]\n",
    "y2_data=[]\n",
    "y3_data=[]\n",
    "\n",
    "\n",
    "y0 = 0  \n",
    "# 设置方差值\n",
    "variance1 = 500\n",
    "std_dev1 = np.sqrt(variance1)\n",
    "variance2 = 1000\n",
    "std_dev2 = np.sqrt(variance2)\n",
    "variance3 = 5000\n",
    "std_dev3 = np.sqrt(variance3)\n",
    "\n",
    "# 设置噪声\n",
    "y_noise1=np.random.normal(y0, std_dev1, 300)\n",
    "y_noise2=np.random.normal(y0, std_dev2, 300)\n",
    "y_noise3=np.random.normal(y0, std_dev3, 300)\n",
    "\n",
    "# 转为列表\n",
    "y_noise_list1 =y_noise1.tolist()\n",
    "y_noise_list2 =y_noise2.tolist()\n",
    "y_noise_list3 =y_noise3.tolist()\n",
    "\n",
    "\n",
    "for i in range(300):\n",
    "    X_data.append(i)\n",
    "    y1_data.append(A*i+B+y_noise_list1[i])\n",
    "    y2_data.append(A*i+B+y_noise_list2[i])\n",
    "    y3_data.append(A*i+B+y_noise_list3[i])\n",
    "    \n",
    "    \n",
    "    \n",
    "\n",
    "#print(X1_data,y1_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "157ca3d8-b182-4689-b087-2aa4997f78fe",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "be07bc2b-1b8b-4254-803f-549e6dc9f342",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array(X_data).reshape(-1, 1)\n",
    "\n",
    "y1 = np.array(y1_data)\n",
    "y2 = np.array(y2_data)\n",
    "y3 = np.array(y3_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "3eb0a2e2-a5fc-4132-83f0-caf0c325dd88",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(210, 1)\n",
      "(90, 1)\n"
     ]
    }
   ],
   "source": [
    "# 数据集划分\n",
    "X1_train, X1_test, y1_train, y1_test = train_test_split(X, y1, test_size=0.3, random_state=1)\n",
    "X2_train, X2_test, y2_train, y2_test = train_test_split(X, y2, test_size=0.3, random_state=1)\n",
    "X3_train, X3_test, y3_train, y3_test = train_test_split(X, y3, test_size=0.3, random_state=1)\n",
    "\n",
    "\n",
    "print(X2_train.shape)\n",
    "print(X3_test.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "16e7a2dd-ea16-4661-b8db-96d9b9dcddf3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 构建模型\n",
    "regr = LinearRegression()\n",
    "regr.fit(X1_train, y1_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "131e9748-ce29-4349-b6a8-750fc28a6129",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'y = [2.9974214] x + 4.770235434270489')"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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XLVtmKleubO9buXJl884773hMIv7mm28MYKZOnep07PXXXzdBQUFm3759Ji4uzsTFxZlff/3Vfr64uDiH1S82H330kbFarebxxx/P9tl5CmKGDBliqlWrZmJjY+3X/+677+wrnuLi4pzOn9vEXtv1Q0ND3a5QySohIcEp0G3cuLHp1q2bU3t256xbt66577777O8vLi7OjB492gBm//792QbQmdn+bJ588sls+z711FMGMNu2bXM6NmbMGAM4fLHbBAcHm169ejm1p6enm8cee8xYrdZsE1ozO3z4sPH29jbDhw/Ptu/EiRMNYH7//XdjTEYAaLFYzJIlSxyeX+XKlc3tt99u4uLisg3mNm3aZAAzZcoUY0zGiqOQkBAzYsQIh3P26tXLniB/7tw5p/OcPn3aNG7c2JQvX978+uuvHq+ZkpJiKlasaBo2bOjyeGhoqLnvvvuc2v/zn/8YwHz//ffGmNz9/Rw9erTx8fFxChbXrFljADN37lx727lz58xDDz1krFarAYzVajWPPvqo6d69u/Hz83MIeOTyKIgRc+zYMePj42PefPNNM27cOOPl5WUOHjyY7ets/8eSk5/sVs5kF8TYAhg/Pz+zYsWKS3iXGcHMr7/+as6cOWOSk5NNqVKlTN++fZ36paenm71795rff//dpKam2lcyrVu3zuV5u3fvbnx9fV2usrAt0fb0k/VL0BbA9O3bN9sAxhjPQUzbtm2zvX7WVVe5CWKOHTtmKlasaG644Qbj4+PjtAosNy51dVJ278/dF50rw4cPN4DZsWOHx37JyckmODjYNGnSxOXxTz/91ABOo4UxMTEGMOPGjXNotwUwFovFfPTRRzm+X5sqVaqYTp06ZdvPtgLPthzZ9mft6cdVcJ5ZamqqsVqt9pGPnPy7cOeddzqcwxbAlC1b1r7Kx5PFixcbwLzzzjsuj992222mdu3abt//0aNHjTG5+/t5++23m2rVqjmd8+zZswYwI0eOdDp2+vRp8+uvv9pHBGvVqmVuueWWbN+f5NzlpbNLkRAWFsZ9993HjBkzSElJ4Y477sjRCpbw8PAcr16qVavWJd9fcnIyd999N2vWrGHx4sXcfvvtl3SeihUr2leCvP322yQmJrrM+7FYLNSoUQPISNJ76623uOGGG2jTpo1T39jYWJYtW0aPHj1crrIYM2YMffr0cXpNr169GDRoED179nRY1TJ37lz69+/PQw89ZC8QdjmmTZvmVDRs+/btPPXUU7z00ku0bdvWZSJyTqSlpdGrVy8sFgvLly/n008/ZeTIkbRr185lkumVsnbtWqe2uXPnMm/ePL7++muuueaaHJ0nOTmZ+fPnc+ONN1KvXj2Pfb/99ltOnjzJK6+84vJ4p06dKFGiBHPnzqV58+YO92WxWLjrrrvsbcYYBgwYwJw5c/jggw+cVjRl588//+TIkSN0797dY7+LFy+ycOFCgoOD7Z+5Tp06uXx+DzzwABEREUyYMMHh8+nKunXrSE9Pt/cLDQ11ec6JEyeybt06li9fTnBwsL09Li6ODh068Ndff7Fq1SoaNWqU7XuePXs2JUqU4MEHH3R5/O6772bw4MFs3rzZ/vxTU1OZP38+zZs3Jzw8HMjd38/w8HBWr17N0aNHHT5Tv/zyC4DL5OWyZctStmxZIOMzs2fPHiZNmpTt+5NcyO8oSgqGzZs32//PIzdTNXnF00hMt27dDGCee+45p0JXmefcjTGmevXqTlNEM2fONDNnzjSrV682X331lenfv7+xWCxmwoQJTtcaOnSo+fLLL83atWvN7NmzTcOGDU358uWdio7Z2IbnV65cmeP36m7O/YsvvjBWq9U0btzY/Pzzz07vNfOwfmJiolm0aJFZtGiRGTFihAHMSy+9ZBYtWmSWLVvm8fp5lRPz3HPPGavV6vB5ueOOO0yZMmXMX3/9ld1jcJIXdWJs3OXEvPzyy8bLy8tlwbMFCxYYcKwd5E6nTp2Mv7+/OXPmjNs+tmJ3zz77rPnxxx/N66+/bvz8/JyK3Q0dOtQA5rHHHnP6M888KvHrr7+aW2+91cyYMcOsWLHCrFy50rz55pumUqVKpkKFCubAgQP2vk899ZQZOnSo+fzzz83atWvNxx9/bJo1a2YAM2fOnGzfn6ucmO+++850797dzJo1y6xatcosW7bMvPLKK6ZcuXLmuuuu8/gsjHGdE3P+/HnTrFkzY7FYzFtvveX0/v/880+n8xw9etR4eXmZ3r17u73WhQsXTN26dU3lypXNp59+alatWmXuvvvubIvdGeP+7+eWLVuMr6+vqVOnjpk3b55Zs2aNefvtt03FihVNSEiIw2ftyy+/NG+//bZZtWqV+e6778yIESOMt7e327w6uXQKYsSuWrVqpk6dOvlybU9BDB6Getu2bevQt2rVqqZq1aoObR988IGpU6eOCQgIMCVLljQ333yz26TJO++804SFhRkfHx8TGhpq+vTp4/DlkFXNmjVNtWrVcjTtY+PuH8nshrYzPxtPQ/ZZ339WeRHErFy50litVvPiiy86tJ86dcpUqVLFNGvWLMf5MTZXI4ixtbuaervttttMYGBgtjk0hw4dMlar1TzyyCPZ3sdbb71latasaXx9fU2VKlXMiy++6FAl2piMz2xO/ixjY2PNQw89ZKpXr24CAgKMr6+vufbaa82gQYPMoUOHHM45e/Zsc+ONN5py5coZb29vU7ZsWXP77bfbc0Gy4yqI+eOPP8y9995rqlatakqUKGFKlChhateubZ555hlz6tSpbM/pKojJburJ1edh3LhxBjBr1qzxeL3Y2FjzyCOPmHLlypkSJUqYm266ySH52x1Piff/+9//zN13320qVapk/Pz8zLXXXmv69+/v9PyXLFlibrjhBhMYGGj8/f1N06ZNzezZs3P174TkjMWYPC7gIYXSb7/9RsOGDXn33XcZPHjwVb/+3Llz6du3L3/++SdVq1a97MJdknvGGNLS0vj444/p168fUVFRbgt/iYgUBPqmKOb279/PwYMHefbZZwkLC3OaH77abPPPJ06ccJg3lyvvm2++4e67787v2xARyTGNxBRzffr04ZNPPqFOnTp88MEHTlU3r5ZTp04RHR1t//2GG27QaMxVdubMGf7880/779dff71TETERkYJEQYyIiIgUStp2QERERAqlXAcx69ev54477iA8PByLxeKwGytkJAe+9NJLhIeH4+/vT7t27Zw220pOTmbYsGEEBwcTGBhI9+7dOXLkiEOfuLg4Hn74YYKCgggKCuLhhx92qnchIiIixVeug5jExEQaNmzI9OnTXR6fPHkyU6ZMYfr06URFRREaGsptt93G2bNn7X0iIyNZsmQJCxYsYMOGDZw7d45u3bqRlpZm79O7d2+2b9/OihUrWLFiBdu3b+fhhx++hLcoIiIiRdFl5cRYLBaWLFlirz5pjCE8PJzIyEhGjx4NZIy6hISEMGnSJAYOHEh8fDwVKlTgk08+oWfPngAcO3aMypUrs2zZMm6//Xb++OMPrr/+ejZt2mSvtrhp0yZatGjB7t27c1T9NT09nWPHjlGqVKnLrnoqIiIiV4cxhrNnzxIeHo7V6nmsJU+Xf0RHRxMbG0vHjh3tbX5+frRt25aNGzcycOBAtm7dysWLFx36hIeHU69ePTZu3Mjtt9/OL7/8QlBQkEO57ptuuomgoCA2btzoMohJTk4mOTnZ/vvRo0e5/vrr8/LtiYiIyFVy+PBhl9s5ZJanQUxsbCwAISEhDu0hISEcPHjQ3sfX19e+n0TmPrbXx8bG2ve4yaxixYr2PllNmDCBl19+2an98OHDlC5dOvdvRkRERK66hIQEKleuTKlSpbLte0UKcWSdvjHGZDulk7WPq/6ezjN27Fiefvpp+++2h1C6dGkFMSIiIoVMTlJB8nSJdWhoKIDTaMnx48ftozOhoaGkpKQQFxfnsc/ff//tdP4TJ044jfLY+Pn52QMWBS4iIiJFX54GMREREYSGhrJq1Sp7W0pKCuvWraNly5YANGnSBB8fH4c+MTEx7Ny5096nRYsWxMfH89///tfeZ/PmzcTHx9v7iIiISPGW6+mkc+fOOZQmj46OZvv27ZQrV44qVaoQGRnJ+PHjqVGjBjVq1GD8+PEEBATQu3dvAIKCgujXrx8jRoygfPnylCtXjpEjR1K/fn06dOgAQJ06dejUqRMDBgzggw8+AODxxx+nW7duOVqZJCIiIkVfroOYLVu2cMstt9h/t+WhPProo8ydO5dRo0aRlJTE4MGDiYuLo3nz5qxcudIhQWfq1Kl4e3tz//33k5SURPv27Zk7dy5eXl72Pp9++inDhw+3r2Lq3r2729o0IiIiUvwU2b2TEhISCAoKIj4+XvkxIiIihURuvr+1d5KIiIgUSgpiREREpFBSECMiIiKFkoIYERERKZQUxIiIiEihpCBGRERE3IqJT2Lj/pPExCfl9604uSJ7J4mIiEjhtzDqEGMX7yDdgNUCE3rUp2ezKvl9W3YaiREREREnMfFJ9gAGIN3As4t3FqgRGQUxIiIi4iT6ZKI9gLFJM4YDJ8/nzw25oCBGREREnEQEB2K1OLZ5WSxUCw7InxtyQUGMiIiIOAkL8mdCj/p4WTIiGS+LhfE96hEW5J/Pd/YvJfaKiIiISz2bVaFNzQocOHmeasEBBSqAAQUxIiIi4kFYkH+BC15sNJ0kIiIihZKCGBEREQEKdmE7VzSdJCIiIh4L28XEJxF9MpGI4MACNbWkIEZERKSYc1fYrk3NCqzfe6LAVu3VdJKIiEgx566w3dYDcQW6aq+CGBERkWLOXWE7LBToqr0KYkRERIo5d4XtmlQtW6Cr9ionRkRERNwWtpvQoz7PLt5JmjEFrmqvghgREREBXBe2K8hVexXEiIiIiEcFtWqvcmJEREQk99LSwJjs+11BCmJEREQkd/bsgdat4dNP8/U2FMSIiIgUY7naaiAtDaZMgRtugE2b4IUXIDX1it+jO8qJERERKaY8bTXgZN8+6NsXfv454/eOHWHWLPDOv1BCIzEiIiLFkLutBmLikxxHZ9LT4a23oGHDjACmVCmYORNWrIDKlfP1PWgkRkREpBhyt9XAnA0HmLXhL9INVDsTwxf/nUXFbZszOrRvD7NnQ9WqV/+GXVAQIyIiUgzZthrIHMhYgVkb/sKkp/PwtmWM/XEOAReTSQ8MxPrGGzBwIFgsbs95tWk6SUREpBhytdVA/5sjCD/zN58ueJ5XV71PwMVkfqlSn/feWgKDBhWoAAY0EiMiIlJsOVTjLe9PwNzZDP9oNCVTkjjv48fEtn34pHFXLH+m0CM+qcAVvFMQIyIikk9i4pOIPplIRHDgVQsQMl8TMnJjrjt/ioqDhsIPPwCwuVJdnukSyaGyYUBGTbsDJ88riBERESlKLjUQydXy5jy6h8zXBLAYw/2/reT5NbMgJYm0Ev7Ejn6B3hfqkZYp46Qg7VydmYIYERGRS3SpgYi75c1talbI9WhHTu8h6zVDE04yacXbtI3+HwBbrqnDM10iOZh8DXc3voavtx0rkDtXZ6YgRkRE5BJcTiDibnmzpykbV6MtubkH+zWN4b4dP/DC6g8pnXKeZC8fJrd5hDlNu5Nu9QIDX287xuLBLTifkl7gdq7OTEGMiIjIJbiUQMTG1fJmT1M27kZbPN2D7R5tQU9EcCAhZ08xYcU73PrXFgC2hdViZNdI9pev7HSO8ynptKhe3qE9P3J4PFEQIyIicglyG4hkZlve/OzindlO2XgabdlxJN6pv5fFwm9Hz/DgrE2kG7AAYzrVYuDhX1j/8TD8ziWQ7OXNlJsfYlazu0mzerk8R9b3kZc5PHlFQYyIiMglyE0g4orD8mYPUzbuRlu2Hohj0ordTv0HtbuWSct3218TfC6Oawc8BH9uxg84Xqs+D938BHvLV8EKPN4mgvIl/Zi8fI/b9+EqkBr71Y5LyuHJSwpiRERELlFOAxF3woL8Pb4mJj6JU+eSXY74kKUt8zFb7kv3P9bz8qr3KXvhLClWby489zwV/+855iVedLrn7g3D3b4PV4FUOjBnwwGe7VonV+85LymIERERuQzZBSKXKvP0jYWMYrnGYB8paVK1rFNwYwHeWfMnwYlxvLZyBp32/gLAjpDqjOz6FMPuuZtu3t6EBXk73bOn9xERHIgFyBozzdrwF31bV8u30RgFMSIiIgVM1ukbA1gNTO/diMZVy9qDhszTWdZ/+nX54ydeXfUe5ZISuGj14u2WD/DeTfeR6uXNsM+3cfRMEgPbVs/V/YQF+TPg5ghm/hTt0J6ez0XwFMSIiIgUMO6mb4zJOAYZgUXm6ayzh4+RMmgw3fZsAOD3ihGM7PIUv4dcaz+HASYs3w0WGNgmd4FM39YRzNoQfUmJzFeKghgREZECxF0ejAUYvmCb0+qgsCB/wn5YRtqgJ/A6eYJUi5V3W/Rkesv7SfXycXmNSct3071heK5GUC43kflKUBAjIiJSQLjLg7FNFWVdZt022Eroc6Pg88/xAs5Ur8UjNw/mt5DqeFksjOlUi4nLdzvlslzqNNDlJjLnNQUxIiIiBYCnPBgDDP1sm0P/W/f+QplmfeDUCfDygjFjKPPCC3xwId0pyJiw3HEp9uVMA12pROZLoSBGRESkAHCXB1Mu0I9qwQH26aWgpLO8uHomPXatBSA+ogZBCz+FZs0ACPPDIcgY2LY6WLDXjikI00B5RUGMiIjIJcrLMvzuKgAH+FqJPpnI6M61iXr7Y8Z9P52Qc6dJs1iZeWMP3r75QdbUrEeYh3MPbFPdYx2YwkpBjIiIyCXI6zL8rhJn72oUzt0zNlIy6Rz/t/pDZu1cDcD+cpUY0fUptofXAv7Nb/EUVBWkaaC8oiBGREQkly5nB2tPbImzWw/EEZeUwovf7KLNn1uYsOIdws6dIh0Ls268mzdbP0iyjx/wb35LQdzb6EpTECMiIpJLl7ODdXbW7z3B2MU7CLyQyPg1s3ngt5UA/FU2nGe6RNKkVzdSN0RDpmXOwBUJqgo6BTEiIiK5dDk7WHtiG+Fp+dc2Ji1/m2vOniAdC3Oaduf1Ng9z0def6a2r0bd1NYf8lo37T16xoKogUxAjIiKSS1eq8NvBA3/z6orpPLh9BQAHyoTxTJcniapcz+kama91pYKqgk5BjIiIyCXI88Jvq1fTtO9j3HT4EABzmtzB5DaPkuxbgnez7JkEziujClo13atBQYyIiMglypMVP+fOwejRMGMG3kBCaCUG3TKEjVXq42WxMKFHPbo2CHd4ibsk3oJUTfdqUBAjIiKSX9atg759ITpjd+hPGnVh0i19Gda9EcMqlXEZjGS3Mqo4BC821rw+YWpqKs8//zwRERH4+/tz7bXX8sorr5Cenm7vY4zhpZdeIjw8HH9/f9q1a8euXbsczpOcnMywYcMIDg4mMDCQ7t27c+TIkby+XRERkSsuJj6JjftPEhOflNGQmAjDh0O7dhAdzdHSFejd8zVe6DiYcz7+TF6xx+1oiqeVUcVNno/ETJo0iffff5958+ZRt25dtmzZQt++fQkKCuLJJ58EYPLkyUyZMoW5c+dSs2ZNXnvtNW677Tb27NlDqVKlAIiMjOS7775jwYIFlC9fnhEjRtCtWze2bt2Kl5dXXt+2iIjIFZF16ufDay/QftJo2L8fgNgHHuH20G6c8/s3CdfTyqLimsTrSp6PxPzyyy/ceeeddO3alWrVqnHvvffSsWNHtmzZAmSMwkybNo3nnnuOHj16UK9ePebNm8f58+f57LPPAIiPj2f27Nm8+eabdOjQgUaNGjF//nx27NjBDz/8kNe3LCIickVknvopcfECz/7wIbc8fl9GAFOpEqxYgXn/fc6XcAxAPAUltiReL4vF3rc4JPG6kudBTOvWrVm9ejV79+4F4Ndff2XDhg106dIFgOjoaGJjY+nYsaP9NX5+frRt25aNGzcCsHXrVi5evOjQJzw8nHr16tn7ZJWcnExCQoLDj4iISH6yTf00PvoHS+c+Sf8t32DFcPzeB2HnTrj99ksKSno2q8KGMbfw+YCb2DDmliJfmdedPJ9OGj16NPHx8dSuXRsvLy/S0tIYN24cvXr1AiA2NhaAkJAQh9eFhIRw8OBBex9fX1/Kli3r1Mf2+qwmTJjAyy+/nNdvR0RE5JJFBFp5du1H9Iv6Gi+TTmzJcjzbaRg9XnicJvjaN21sU7MC0x5oiNVicVpK7U5xS+J1Jc+DmIULFzJ//nw+++wz6taty/bt24mMjCQ8PJxHH33U3s/yT8RpY4xxasvKU5+xY8fy9NNP239PSEigcuXKl/FORERELsPmzYT16cPju3cD8GW99rzafgAJJUqy5rNt9qXRQLHb8yiv5HkQ88wzzzBmzBgeeOABAOrXr8/BgweZMGECjz76KKGhoUDGaEtY2L8bhx8/ftw+OhMaGkpKSgpxcXEOozHHjx+nZcuWLq/r5+eHn59fXr8dERGR3ElOhpdegsmTIT2dtJAQtj47kQs3tuPsN7swmZZGj/1qB2RK0i0uex7llTzPiTl//jxWq+Npvby87EusIyIiCA0NZdWqVfbjKSkprFu3zh6gNGnSBB8fH4c+MTEx7Ny5020QIyIiYuO0pDmb9jyzZQs0aQITJ0J6OjvadaPpA9O4/1gFXvh6l9PS6HTQcunLkOcjMXfccQfjxo2jSpUq1K1bl23btjFlyhQee+wxIGMaKTIykvHjx1OjRg1q1KjB+PHjCQgIoHfv3gAEBQXRr18/RowYQfny5SlXrhwjR46kfv36dOjQIa9vWUREihB31WzdtXuSubQ/4FDm30FyMrz6akbwkpbGhXLBDG87kJU1W9i7ZIlVgH9GErRc+pLleRDzzjvv8MILLzB48GCOHz9OeHg4AwcO5P/+7//sfUaNGkVSUhKDBw8mLi6O5s2bs3LlSnuNGICpU6fi7e3N/fffT1JSEu3bt2fu3LmqESMiIm65q2ZbO7SUxyq3WfchAsdgyJaNaXARAG3bBo8+Cjt2AJB0z320vuYuTvkHebxXS6acmOK251FesRhjXAWHhV5CQgJBQUHEx8dTunTp/L4dERG5CjbuP0nvDzc7tT/ftQ6vLf3Dqf3zATdx6HSi0whNm5oVaDVxjdNUj42XxcKGp1sR9u5UGDcOUlMhOBjee4+Njdq5vIesrMDPY2+1B1HFac8jT3Lz/a29k0REpMhwV822WbWyLtsDfK0uR2je6nWD2wAGoObf+ynddgz8kTH6wj33wIwZULEiEfFJTtdyJR3sVXm1XPrS5Hlir4iISH5xVziuYeWyLtsTU9JcJtbyz6hMVt5pqQz7+XO+mfc0gX/sgPLlYcECWLQIKlZ0eQ9WoHfzyk7nU+7L5dNIjIiIFCk9m1WhTc0KTtMzrtpjXIyaeFksNKmWEfSM/WoHtu2La544wJtLp1L/74w9j7jrLnj/fchSvNXdtRpWKqPclzymnBgRESnWFkYdcgoubEm7//ntGE/O38LAzV/x5M+f4ZeWypkSJTkx/g1qRD6ekZ2bC8p9yZ5yYkRERHLI3cgNQPOkWBbPH0nDmH0ArLruRl7oNIwlj92T6wAGtFVAXlMQIyIixZ5TcJGWBlOmUOGFF6iQnEyCXyAvdXicb+q1Z/w9GcuiN+4/6bpmjFw1CmJEREQy27MH+vSBTZsyfu/ShaQ33uI+37I8ExzA+r0n7Muv3RXNc1V3RvKeghgRERHIGH156y147jm4cAFKl4Zp06BPH0IsFkJwX0yvTc0KQEZF3x1H45m0fLc2dLwKFMSIiEiRlqNRkX37oG9f+PnnjN87doRZs6ByZYdu0ScTXS7JnrPhALM2/OW8N5KHDR01WnP5FMSIiEih5SoQyNy2fu8Jz/slpafDO+/A2LGQlASlSsGbb0L//i4Td10V07OCywDGxrahY+ZA5VL2cRJnCmJERKRQchUIAC73OwIXoyL798Njj8H69Rkd2reH2bOhalW317QVssu8JLtf62rM/Cna7WuyFrXzNCWlEZncURAjIiKFjqtAYOxXOxx2hHY1MJJmDFv/OkW3jd/AqFFw/jwEBsIbb8DAgWCxZDvN06ZmBaY90BCrxULjqmUBmLUh2uVIjKuidu6mpLKO1kj2FMSIiEih4yoQSAfXkUsmleL/ptxdXeHQbxkN7drBRx9BRASQ/TSPu+MTetRnzFc7HC7/eJsI+raKcApM3O3vpC0Ick97J4mISKFjCwQys+J6vyMAjKH39uWs+GgoLQ/9xnkfP+InvwmrV9sDGHfTPDHxSdkeb1OzglMKzeyfDri8FXf7O2kUJvc0EiMiIoWOq9yU8T3qAdjbbK6JP87E5W9z88HtAGyuVJdnukQyqcfdtLD++//y7qZ5th6Io1tDf4/TQAaTqykiT1WCJecUxIiISKGUNRCAjEBk8eAWHD6dxPDP/8d9v67k+TWzKJWSRJK3H5PbPsLcJndgtXo5Td/sOBLv8jrDF2wjMSWVNjUreJwGyu0UkbYguHyaThIRkQIvJj6JjftP2qd2bMKC/GlRvby9im7vDzdz94yNpB8+zM/r3mDSincolZLElmvq0PWxt5nT9E6sVi+n6ZuY+CQmrdjt8tq2aSPA7TSQpojyh0ZiRESkQHOXTGtbRRTo6/Vvroox3PPbD7SbOovSyYkYPz8OPv0c14x8ik+9vBxGbTLvfeRqqigz29SQp2kgTRFdfQpiRESkwHKXTHsm6aK9tL+FjEVJFc+eYuKKd7j1ry0AnG3YhFIL5lOtdm37+cKC/F0GRa6mijLLPDXkaRpIU0RXl6aTRESkwHKXTDvxnwAGwBjD3TvXsGr2YG79awvJXt5MateXc6vXQqYABtwHReA4VWTh34K9mhoquDQSIyIiBUrmYnPuyvzbfq9wLo7x30/ntj83A/BraA1GdH2K+x7pSFj5Uk7n9rTCyFWisKaGCjYFMSIiUmC4murJupR6VKdaTFr+B91+X8/Lq96n7IWzpFi9mda6Nx80v4c0qxcNrinj8vyugiKA346eoUX18k7TQQpeCjaLMcZDKlPhlZCQQFBQEPHx8ZQuXTq/b0dERLIRE59Eq4lrnJYpbxhzC5BpVORCAkceeJRKP34PwI6Q6ozs+hR7KlRzeI27AOSDdfuZsNxxJVJ2r5GrJzff3xqJERGRfBUTn8SWA6fZd/yc26ke2ygJX3xB+hODqXT6FMbbm8NDR7Lpjkf5c9VfkKnonadgpH6lIKc27V1UOCmIERGRfLMw6pDTnkOZ2VcFnTgBQ4bAokVYgd8rRvBM16d4pPedDGhWhW5NquY4f0V7FxUdWp0kIiL5IiY+KdsAZnyPeoT9sAzq1oVFi0i1WHmrZS/ufGQKuypea9+7yFb0LicjKSpMV3RoJEZERPJF9MlEj5tOv9CiIj2njoHPPwdgd3BVRnR9il2h19n7XOo0kArTFQ0KYkREJF9EBAfaC9Vlddu+TXSdPh0Sz4CXF4cHDqe7fxtSvH0c+lktXPI0kArTFX6aThIRkXwRFuTPxHvqY8nUFpR0lin/eZMPF79GhcQznL+uFvzyC97jx5Hq4+N0jtGda192IOJuXyYp+DQSIyIi+cY2rfPD73/z45tzGP/9dELOnSbNYuXD5j248+uZBISUJQwc6sVYyQhgBrapflnXd7cvkxQOqhMjIiL568wZiIyEefMA2F+uEs90e4qeQ+91Cihi4pPyLI/FU10aTTPlH9WJERGRwmH5chgwAI4eBYuFc0Of5OTAEbxbyfVKo7zMY/G0BYGCmMJBQYyIiOSpzHsfZQ4GHNpJgREjYPbsjIM1asCcOZRs1YrmOThXXlC9mMJPQYyIiOQZdzkmmdvbHNjGez++R+DfxzK2in7ySRg3DgICcnSuvGKrF5N5XybViylclBMjIiJ5wl2OyeLBLbh7xkb8L5zn2R8/4sHtKwBIrFyNpA8+JLhzhxyf60rkq+Rlno1cPuXEiIjIVRUTn8R/fjvmMsdk7sYD3BS9ncnL36ZSwnEA5jS5g8ltHiV5fTITgg85jbBczXwV1YspvBTEiIjIZck87ZNVQEoSjSa9wCPblgJwOCiEZ7o8yaYqDTI6GHh28U7a1KzgEEgoX0VyQkGMiIhcspj4JLcBTPNDO3h92TSqxP8NwCeNujChXV/O+zqOergaYVm/9wSZkx0sFpSvIk4UxIiIyCVxN4Xkn3KBmX98yc0rFgBwpHQFRnV+ko3VbgBw2mrAiuPWAbbAKHMfi4E2NStcibchhZi2HRARETtXJfhdtS2MOkSriWsYt3S3w+ubHtnF8jnD7AHMZw070emxd+0BjNUCY7rUdthqwJAx8mLjKh8mHThw8nxevEUpQjQSIyIigOslzYBTW5uaFZymkEpcvMDI9Z/w2JZvsWI4ViqY0Z2H81NEY3sfS6bXT1q+2z5dZHDMi1E+jOSUghgREXHKbUk3MParHZApmEj/Jwn3rV43OAQYjY/+wevLplH99FEAFta/jdfa9+esX6C9z/Bbr6NX8yqEBfmzcf9JjyuPVL9FckpBjIiIuJ3CwUWwwT+jMj4pyTy94VP6R32Nl0kntmQ5xnQaxo/Vmzm8xstisQcwMfFJnDqXnO1Ii21jSNVvEU8UxIiIiMspHCs4jMRARrDRpFpZPqiZSsTIJ7nu9BEAvqzXnlc7DCDer2RGvosFjMFhFCXzdJWFjOmlrH0yU/0WyY6CGBERcbmk2ZYTk3laZ8yt1UgbPYYOH07Hkp7O8cCyjO00lNXXNccKvNu7EY2rlgVwGEXJOl1lAKuB6f/0V7Ail0JBjIhIMedqSTMGAv28aVK1LBvG3MKBk+c5tvon6vXuTKWThwBYcn07XuowkHj/UkDG9FO5QD97QJI5MHE3XZW5v0huKYgRESnmXAUYBhj62TasFpjUrSadvp5FszffwNukcyKgDM/dPoSVNVs4vMbTCiKtOJIrQXViRESKOVuA4Uqd2P3Uv7sjpd6YjLdJ59s6bejY7117AGN7XXYriGwrjrwslhz1F8kJ7WItIiIsjDpkz30B8Em7yJBfvmDIL1/gk57GKf/SPN9xMMtrt7a/xrZD9fmU9ByvINKO0ZId7WItIiI5FhOfROVyASwe3ILDp5OY8dZXvL50GnWP/wXAspoteaHjYE4FlrG/xvrPXkYNK5fN1bW04kjykoIYEZFiKCY+ieiTiew4Gs+k5btJN+CbnspXCev57pN38Eq9yGn/0rx42yC+q31zxnKlTN5+oBHdGobn092LZFAQIyJSxNgClIjgQJejHpnrtdjUPHGAN5dOpf7f+wG40PUO/nphEv3DQ1k6Y6PLWjEi+U1BjIhIEeJq/6OezarYj2et1+KVnsbAzV/x5M+f4ZeWypkSJTkx/g1qRD5O039GX7QFgBRUCmJERIoIV/sfZd5YERyXU1938hBvLJvKDTH7AFh13Y280GkYSx67x2H6SFsASEGlIEZEpIhwVe8lzRi2HoijW8OMwGPHkXis6Wn0j/qaET/Nxy/tIgl+gbzU4XG+qdee8ffUdxmkKCFXCiIFMSIiRYSrgnIAwxdsIzEllTY1K/DFpz/w5dKpND62B4A11zZlbKehHC8VzJjOtR2mnkQKOtWJEREp5DIn8q7fe4KxX+3I2IE6Ex+TztdpW6j+1kRKpKaQ4BvAq+0HsKh+B/vUkZfFwoYxt2jERfJVbr6/r0jF3qNHj/LQQw9Rvnx5AgICuOGGG9i6dav9uDGGl156ifDwcPz9/WnXrh27du1yOEdycjLDhg0jODiYwMBAunfvzpEjR67E7YqIFAox8Uls3H+SmPgke9vCqEO0mriG3h9uptXENQC83buRw+uqnT7KZ5+Ooe6br1AiNYX11Rpxe793WdTgNofclzRjOHDy/CXdh0h+yPPppLi4OFq1asUtt9zC8uXLqVixIvv376dMmTL2PpMnT2bKlCnMnTuXmjVr8tprr3HbbbexZ88eSpXK2EgsMjKS7777jgULFlC+fHlGjBhBt27d2Lp1K15eXnl92yIiBZqrVUdtalZwmci7eHALrBYw6en02fodo9Z9jH9qMumlSrF12HP0TatHmotr5GQvo+xWP4lcTXk+nTRmzBh+/vlnfvrpJ5fHjTGEh4cTGRnJ6NGjgYxRl5CQECZNmsTAgQOJj4+nQoUKfPLJJ/Ts2ROAY8eOUblyZZYtW8btt9+e7X1oOklEioqY+CRaTVzjVKvlrV43MPSzbU79Px9wE6d++50KTw6m+eGdAMQ2a0Xook+halV76f/fjp5h8vI9DkunPQUk7u5DU1CSl/J1Ounbb7+ladOm3HfffVSsWJFGjRrx4Ycf2o9HR0cTGxtLx44d7W1+fn60bduWjRs3ArB161YuXrzo0Cc8PJx69erZ+2SVnJxMQkKCw4+ISFGw9WCcy1VHGJw2bvTGcP2Sj+n2UCeaH95JWkAg8VPewqxcycbUQGLikwgL8qdF9fIMbFOdDWNu4fMBN7FhzC3Zjqi4W/2UkykokSshz4OYv/76i/fee48aNWrw/fffM2jQIIYPH87HH38MQGxsLAAhISEOrwsJCbEfi42NxdfXl7Jly7rtk9WECRMICgqy/1SuXDmv35qIyFW3MOoQw1yMttiq5mbeGbpK/HHWrRxH0DNPw/nz0K4dXjt3sKL1XbSatNaeN7Mw6pD9PLaAJicjKa52u87JFJTIlZLnQUx6ejqNGzdm/PjxNGrUiIEDBzJgwADee+89h36WLPtwGGOc2rLy1Gfs2LHEx8fbfw4fPnx5b0REJJ/ZitdlnfO3bb4YFuRPz2ZV2DC6HatL7uaHecO4Ztsmzvv48eJtA1k4cQ4x5UJd5s1cSlJuWJC/Q9Ck6r2S3/I8sTcsLIzrr7/eoa1OnTp89dVXAISGhgIZoy1hYWH2PsePH7ePzoSGhpKSkkJcXJzDaMzx48dp2bKly+v6+fnh5+eXp+9FRCQ/zdkQ7TR9A1k2Xzx4kLD+/eGHHwDYXKkuz3SJ5FDZMLy+/p23evm6nQLKLvhwtQeTqvdKQZLnIzGtWrViz549Dm179+6latWqAERERBAaGsqqVavsx1NSUli3bp09QGnSpAk+Pj4OfWJiYti5c6fbIEZEpCiJiU/iw5+indqtFjI2XzQGZs2C+vXhhx9IK+HPy+0H8EDvCRwqm/E/iGnGEJeYknUDaqyQo1VImZduX+oUlMiVlOdBzFNPPcWmTZsYP348f/75J5999hkzZ85kyJAhQMY0UmRkJOPHj2fJkiXs3LmTPn36EBAQQO/evQEICgqiX79+jBgxgtWrV7Nt2zYeeugh6tevT4cOHfL6lkVECpzok4lO00gA/VtfS9jZU9C5MwwYAGfPQsuWnNqwiXnN7sRY/v1n3QK8+O0usq5BNcD6vSfcXtvdHkyqCyMFTZ5PJzVr1owlS5YwduxYXnnlFSIiIpg2bRoPPvigvc+oUaNISkpi8ODBxMXF0bx5c1auXGmvEQMwdepUvL29uf/++0lKSqJ9+/bMnTtXNWJEpFhwtYWA1Rge2r2a1F7P4X02Afz8YPx4ePJJKnp5MSG9jH23aSsZwYqr6SiD88aQmXlahaTRFylItO2AiEgBFBOfxEcbopn9T15M2LnTzN44k+u3bQBgW1gt/vt/b9C9V3uHwMJWA+ZUYrLLGjKZfT7gJlpUL+/y2qoHI/klN9/f2gBSRKSAyVwV12IMb6ftpMsnE/FOiCfZy5spNz/ErGZ3k3bAwqSJaxyq5tp2m46JT3K5GaSNp6XRtlVItlEdrUKSgkojMSIiBUjmUZAK5+IY//10bvtzMwC/htZgRNen+DPYsSidu1GShVGH7IGIBcCSkQ+ck+q8tnvRKiS52jQSIyJSSM3ZEE16uqH7H+t5edX7lL1wlhSrN38NHsG9AS25aHHOC3SXr5J1OTSQq6DENqojUlApiBERucpc1V+xtS9Z8T/eXzmDTnt/AWBHSHVGdX2Kj157jNf2nmDsVztIz3K+7KaGMl9DQYkUJQpiRERywF3gkVvudoGOiU/i92kf8v3sFyiXlMBFqxdvt3yA9266j8fa1bRX521TswJzNhxg1oa/Ms4BjOpUS8GJFEsKYkREsuEu8MgpWwAU6Ovlsv7KhZhYgkePoOvujJVHv1eMYGSXp/g95FqsQN/W1eznCgvy59mudShfypeJy3eTbmDSit2UCfDJ1T2JFAUKYkREPHBX+M1VjRVXozUOK43AqYDdbbs30PXtGQSfjyfVYuXdFj2Z3vJ+Lnr5uF0VFBOfxKTlu+1F7Dzdk0hRpiBGRMSDnBZ+czVa06ZmBYcAKPNpyiQl8PKqD7jzj3UA7A6uyoiuT7Er9DoAXuhahy4NwlSMTsQDBTEiIh64qpybNZHW3WjNW71ucFmnpeO+TYz7fjoVEs+QarHy3k338U7LB0jx9gEy8lzcBTA5vSeR4iDP904SESlKbIXfvP7ZRdHVFI+7kRH+GZWxCUo6y9T/vMnMxa9RIfEMe8tXocfDb/Bmm4ftAQxkv7dRTu5JpDhQsTsRkRyIiU9i64E4sECTqmWdlka7K9O/fu8Jnl28k7b7NjPh++mEnDuNsVp5v1kPprXuTbK3r8vr5aTMf+ZidECerJ4SyW8qdiciksfW7z3hdoWSpzL9PWuU5o6DnxPw1fyME9Wqxal3P2DyqnMud6m2yUmOi60GzOWunhIprBTEiIhkIycrlLJWxw0L8ofly2HAAAKOHgWLBUaMgFdeIdjfnzHe+5mwfLfba+Y0xyU3q6dEihoFMSIi2cjpaiB7ddz4eOg/DGbPzjhQowYn33mfvdc1ICIFwvxhYNvqYIFJ/9R6cbW3UU6CEK1UkuJMQYyISDZytRpo1Sro1w8OH8ZYLCQOGsKKXkMZtexP0tdudpjuGdimOt0bhl/y3ka5vjeRIkark0REspGj1UBnz8KgQdCxIxw+zIEyYdzfawL1S3fimaV/Ok33xMQn2c/donp5+yiO7b/z9N5EiiiNxIiI5IDLnBeb1aszRl8OHgRgbpM7mNTmUZJ8S7g8V15P93i8N5EiTEGMiEgOZd0RmnPnYPRomDEDgNQqVYn6vzd4aZ/nIOJKTPc43ZtIMaAgRkTkUqxbB337QnQ0AJ806sLEdn1JdBHAWMhYnGTbdbpfpg0dReTSKSdGRISMpcob95+056q4lZgIw4dDu3YQHc2R0hXo3fM1Xug4mERf1wHMmM61+XnMrTx+87VggZk/RdNq4hoWRh26Iu9FpLjQSIyIFHs5Lha3YQP06QP79wPwWcNOjL/lMc75uZ8aMsCkFRn1YGZt+Ev1XETykIIYESmWYuKTiD6ZSKCvV/bF4s6fh+efh2nTMgq5VKrErlen8OzunOW1pJt/6sFkaVc9F5HLoyBGRIqdzCMvrqQZw9YDcXRr6A+//JIx+rJ3b8bBxx6DKVMohy/WLPslQcb0kavTppORF2NUz0UkzygnRkSKlaxl+t0ZOX8zfzw8CNO6NezdS1pYGCxdmlGFNygIgH6tI+y7VFuBsZ1rs3HsrUzv1chh92rICFjGdK6tei4ieUgjMSJSrLgq05/VDcf28MbSqVx3+ggAX9Zrz2sdBjC2Qj164jiSYwEebxNB31YR9oCkW0N/ElNSnTaE7NmsikOFXgUwIpdHQYyIFEm2nJeI4ECHYCEiONDtlI9v6kUif/6UgZsX42XSOR5YlrGdhrL6uuZARq5M7dBSDiM5Bpj90wH6topwOJe7AnSq5yKSdxTEiEiR42m1UViQP2M613baQbphzD4mL5tKrZMZy56XXN+OlzoMJN6/lL1PmjFEHYjL8YaLClhEriwFMSJSpGTNeXG12ijzDtLeFy/y5C8LeGLzl1jT0jgZUIZnbx/CDzVbOI3WeFksNKtWVhsuihQQCmJEpEhxlfOSeaTENs3UvWE4PThOwOP9Cdzze0bHBx4gddxkup/1orsFdsckMOPH/aSbfxNxd8eedVhhZLGgBF2RfKIgRkSKlIjgQLcjJbZpJq/Uiwz95QuGbVqENS0VgoPhvffg3ntZF3WIsYu3ObzeAozqVIs2NSvQauIahxEai4E2NStcrbcnIploibWIFClhQf5M6FHfvpTZtlfR8YQLjF28g1p//8XXH4/gyZ8/x5qWSlL3u2DXLrj3XrfLrw0wecUeth50zodJBw6cPH8V3pmIZKWRGBEpcmwrg+ZsOMCsDX8x86do5vy4jyGbFjFs40J801M57V+a/7ttEA+++QwtKgYDnpdfpxkD/yQKKx9GpGDQSIyIFDo53azRtldRzRMHWPzJCEZs+BTf9FS+r3ETHfu9y/Lr21KtQqC9v20qyhUvi4Um1co6jPKoYJ1I/tJIjIgUKjndrDH6ZCKWtDQGb/6KJ3/+DL+0VM6UKMmLtw3imzpt8bJanQIQ21SUrUidTeZgxV39FxG5+izGmGxqVxZOCQkJBAUFER8fT+nSpfP7dkQkD8TEJ9Eqy35FXhYLG8bc4hBMxMQnsXv1JsoNHUjDmH0ArLruRp69fSgnSpbDAozpXDtjqTXOhfFi4pM4cPI8Ab5WzqekK1gRuYpy8/2tkRgRKfBsQcbpxJRsl0/PWfcnlmlTeXr9fPzSLpLgF8hLHR5ncd1bM9ZD82+ibvcbwlm/94TLkR0FLSIFn4IYESnQsu5TlHXLgMzLp2fOXM7ry6bS+NgeANZc25TnOg3l/rtugtV/OpzXtlN1doXxRKTgUhAjIgWGq2mdrPsUWfh3hZAtV4W0NP4c8wpL139CidQUEnwDeLX9ABbV7wAWCzUqlnK5qogsbeB+CwERKXgUxIhIgeAqYbdyuQCXNVveeaAR5Uv6ZeSqHD9CQsf2PLf1vwCsr9aI0Z2HE1M6owBd5lVFWXeVblJVWwiIFGYKYkQk37nb72jx4BZOQQbA0fgkutUPhXfegbFjKZ2UxFlff167tT8LG3S0575YM20J4G5VkavgRqMwIoWDghgRyXfu9js6n5LO6E7OO04v+OxH+oztg9/GDRkN7dvz4/BX+PKXM2AMVqB/mwj6topwWkKdNUDRkmmRwktBjIjkO0/7HZlMabwWk85D25Yx9sc5+F1MhsBAeOMNGDiQOywWmrZNuqRgxFVwIyIFn4IYEbnqsibwZi0yl3Vax2qB8DN/M3nZW7Q89BsAya3b4PfxXIiIcHlOESn6FMSIyFXlruKuu2mdsNIl+ILfqP3Rq5RMSeK8jx8/PTaCBhOeJaxsoMdzikjRpoq9InLV5LTirt3Bg9C/P/zwAwCH6jbhkdaDOFAmzB6stKlZIXfnFJECLTff39oAUkSuGncJvAdOnndsNAZmzYL69TMCGH9/4ie8zi3dXuRAmTDg3xVMWw/G5eycIlLkKIgRkavG1S7RWeuy/P37PuLatocBA+DsWWjZErZvZ9d9fUjL8k9WmjHEJabYVlS7PaeIFE0KYkTkqrAl3o7uXDujWi6Ou0NjDP/9vzfwb9yIsj+tJdnLh21PPg/r10PNmi4DIAvw4re7MFmmkrLWeomJT2Lj/pPExCddhXcqIleLEntF5IrLmng7ulNtGlQq828C77FjXOj7GDeu/B6AbWG1GNk1kgP+VdhwLsXlCiYrGdV7M08lWYHFg1vQsHJZt9dW0q9I0aGRGBG5olxV4528Yk9GAFO6BHzyCdStS4mV35Ps5c2Edn2496HJ7C9fmTRjWPpbjH0EpWezKmwYcwufD7iJt3s3IuuqhHTgfEq6x2s/u3inRmREiggFMSJy2TxN17hL5j36RzTcdRc88gicOUNKo8bc0fdtPmh+L2lWL3vf15b+QauJa1gYdQjIKEzXonp5jsY5XytrLkyOE4lFpFBSECMil2Vh1CFaTVxD7w83OwQbNk65LMZw1x/raNzlZvj2W/DxgXHj8P3vZvo93tWeL5NZ1hGUmPgkJq3Y7dRvVOdaDrkwOUkkFpHCS0GMiFyynEzX2HJZvCwWghPj+ODr8Uz79nWscaehcWPYuhWefRa8venZrAqLB7dwea3MIyiuRlgAGlxTxuH3zNcG10m/IlJ4KbFXRC6Zu+marQfiKFfy3y0AejarQsdd6yn59JP4xJ0Gb2/4v/+DMWMyRmIySUxJc3ktqwX7CIqnvZay0gaPIkWXghgRuWSuggkLMHzBNtJNxn8/2SCIgYumUvbrxRkdGjaEuXPhhhtyfE6A0Z1r/7sVQTZ7LWWlDR5FiiZtOyAil2Vh1CGnZc+2f1Q67fmZ11bOIPh8POlWL6zPPwfPPQe+vva6MYG+XiSmpDls3Jj1nKM712Zg2+pO146Jv7Rdq0Wk4MrN9/cVD2ImTJjAs88+y5NPPsm0adMAMMbw8ssvM3PmTOLi4mjevDnvvvsudevWtb8uOTmZkSNH8vnnn5OUlET79u2ZMWMGlSpVytF1FcSI5B1PAYft+IGT5zmVmMzQz7ZRJimBl1d9wJ1/rAPgjwrVGNklkna9bqfVdcHsOBrPpOW7HWu8ZKnhogBFpHjKzff3FZ1OioqKYubMmTRo0MChffLkyUyZMoW5c+dSs2ZNXnvtNW677Tb27NlDqVKlAIiMjOS7775jwYIFlC9fnhEjRtCtWze2bt2Kl5eXq8uJyBWQuVicTdaAwzZdExOfRMd9mxj3/XQqJJ4h1WLlvZvu452WD5Di7cOutft5d+1+l9exJQW3qVnBfj4FLyLiyRVbnXTu3DkefPBBPvzwQ8qW/bd6pjGGadOm8dxzz9GjRw/q1avHvHnzOH/+PJ999hkA8fHxzJ49mzfffJMOHTrQqFEj5s+fz44dO/jhn91sRcSzvCi1n3X1kY3LonGnTxM29HFmLn6NColn2Fu+Cj0efoM32zxMirdj8q47quEiIrlxxYKYIUOG0LVrVzp06ODQHh0dTWxsLB07drS3+fn50bZtWzZu3AjA1q1buXjxokOf8PBw6tWrZ++TVXJyMgkJCQ4/IsVVdrVbcsrdUmbIEnD85z9Qrx7Mnw9WK+ciRzB/+lf8FlYzV9dTDRcRyY0rMp20YMEC/ve//xEVFeV0LDY2FoCQkBCH9pCQEA4ePGjv4+vr6zCCY+tje31WEyZM4OWXX86L2xcp1NzVbqkdWsplPosn7lYKQUbAEeGdAn36wLx5GY21asG8eZRs3pxXgGvC9zvlvrijGi4iklt5HsQcPnyYJ598kpUrV1KiRAm3/SxZqnIaY5zasvLUZ+zYsTz99NP23xMSEqhcuXIu7lykaHBXu+WuGRsxLjZBtCXtukrWte06PXn5HtIyrQHwslj4KPQEoa2awdGjYLHAiBHwyivg/+85BrapTveG4Rw4eZ7fjp6xn8fLYmFUp1o0qFSGAF8r51PSlcArIrmW50HM1q1bOX78OE2aNLG3paWlsX79eqZPn86ePXuAjNGWsLAwe5/jx4/bR2dCQ0NJSUkhLi7OYTTm+PHjtGzZ0uV1/fz88PPzy+u3I1LouBs9MVlGZtrUrMD6vSfsozYWYMDNEfRtHeHQnnnX6QBfK8mnzlBvyssETPxn9KVGDZgzB1q1cnk/tgTdFtXL2wOarAGLLWCy9RcRyYk8z4lp3749O3bsYPv27fafpk2b8uCDD7J9+3auvfZaQkNDWbVqlf01KSkprFu3zh6gNGnSBB8fH4c+MTEx7Ny5020QIyIZspbad/WX3FZVN/O0kwFm/hRNywlrGPOV612nG+7ewo3d2xLwyTyMxcKxPgOJWfcLtGqVo0RiWzCTOVDJq/wdESl+8nwkplSpUtSrV8+hLTAwkPLly9vbIyMjGT9+PDVq1KBGjRqMHz+egIAAevfuDUBQUBD9+vVjxIgRlC9fnnLlyjFy5Ejq16/vlCgsIo5i4pOoXC6AxYNbcD4lnQBfK3fP2OhUoh83uS6u0ldKXEjE8sQT8HnG6MvZSlXp3/YJNofUw/LWJjrXC2XFrlj7yE3m6ars7tVV/o5tmbWIiCf5su3AqFGjSEpKYvDgwfZidytXrrTXiAGYOnUq3t7e3H///fZid3PnzlWNGBEPMtd0sQUT8O9UEmSkr4zvUY8mVcu6TdrNrOWB7Uxe/jahCccBSHz8CW4q2Z5En4ycNwMs2/lvwn1uAhF3+TsHTp5XECMi2dK2AyJFREx8Eq0mrnEsSgdOIy5W4Oext7J+7wnGfLXD5ciLBQi8mMSotXN5ZNvSjMZq1WDOHDZWrkfvDzdnez/TezWiW8PwXN+zl8XChjG3KIgRKaZy8/19xerEiMjVNWdDtHNROpxHWtLBng/jKoDxsliYHZHI9q+e+TeAeeIJ2LED2rUjIjgQz+sIMwxfsC3b/Jas+TtaZi0iuaFdrEWKgJj4JD78Kdqp3ULG9FFO82FevrUq9y5+j8CJMzIaqlSBjz6C9u3tfcKC/BnTuTYTlu/2eE85nVbq2awKbWpW0D5JIpJrGokRKQKiTya6HFUZcPO1Lkc6bPkwmd145HceHHQngR/8E8A8/njG6EumAMZmYNvqjO1S234OL4uF3jc612XK6TYCrlYtiYhkRyMxIkWAq9owVqBv62qEBfm7HOmY0KM+zy7eiU9KEs/8NJ/HtnyDxRioVAlmz4ZM2364krmQnW2rgAVRh51GfbSNgIhcKRqJESlE3NVicZVbMuGe+vaAJetIh20Z9ormXmxbMpp+UV9nBDCPPQY7dxLT/OYcbR6Z+bzKbxGRq02rk0QKCVfLp7PWYomJT8o2t2Rh1CFe/GIrkevnMyDqa7xMOoSHw4cfQpcuObqOJzm5BxERd3Lz/a0gRqQQyKulyDHxSQwe/h6v/2cq150+AsBX9drT6j8fE1o1XEueRSTfaYm1SBHjqShcjiUnkzZ6DF9+8gzXnT7C8cCy9LvnBUZ0fYroVD+P11n6W4x9aikn2wuIiFwNSuwVKQRcJe7mKml2yxbo04dKu3YBsOT6drzUYSDx/qUczuNu88jXlv7B+GV/cHeja1iy7eglTzWJiOQljcSIFAKXnDSbnAzPPw833QS7dnGhXDCP3/0cT90xknj/UvYtCDInAGe+TmbpBr7631GnfY40IiMi+UUjMSIFXEx8EtEnE2lTswIbxtyS86TZbdvg0Uczar0ASffcR+tr7uKUf5C9i8VAm5oVHF5mKz639LcYXlv6h8dLaJ8jEclPGokRKcAWRh2i1cQ19P5wM60mrmH93hPZF4VLSYGXXoIbb8wIYIKDYdEitk2a4RDAQMYWBK7yasKC/OnaIMypIF5WqgMjIvlJQYxIARUTn2Rf6gw5nL759Vdo3hxefhlSU+Gee2DXLrj3Xnu+S2aeghBXU1j3NL5GdWBEpMDQdJJIAeVpRZJT4HDxIkyaBK+8kvHf5cvDu+/C/fdnbJ7Ev0HJs4t3kmZMjoIQV/sajby9lurAiEiBoCBGpIDKbkWSLVemxvEDBA1+HN/t2zI63XUXvP8+hIQ4nfNSNlu0VeN197uISH7RdJJIAeCq9krW6Rwr0K91NSAjV6bN+FVseGwEpW9uge/2bZwpUZLIO0aycOw0lwFM5vNqs0URKQpUsVckn2VX5j8mPok5Gw4wa8NfpBuwANedPMTry6ZyQ8w+AFZddyPP3j6UEyXLqcKuiBRqufn+1nSSSD5yl7zbpmYFhyDEFsBY09PoH/U1I36aj1/aRRL8Anmpw+MsrnurPfclc96MbcopIjhQQY2IFDkKYkTykKugwVMgkZPkXVufa08d4Y1lU2l8bA8Aa65tythOQ/m7VLDD6215M5e7kaOISEGnIEYkj7gKGgCPgUSgrxcWCxgP2wlElC3BgKgljFj/CSVSU0jwDeDV9gP4sn4HjIvKuqM613K4Lrgf4RERKcwUxIjkAVfTQmO/2gGZVhdlDSQ+WL+fict3OwUwDsue9+0jrG9fnvv5ZwDWV2vEs12eZFifW2jr583Qz7Y53UuDa8rkbnl2lveh6ScRKSwUxIjkAVdBQzqAm0Di2+3HmLB8t8MxK7B4cAsaVi4L6enwzjswdiwkJUGpUpwZNxGfzvezqEKgPd/F0xLs3G4YqeknESlstMRaJA+4qoZrBZcVcgN8rUzMEsBARtBzPiUd9u+HW26ByMiMAKZ9e9ixgzLDBtPiumC3mzVmHsXJ7YaRl1QdWEQkn2kkRiQPuKuGCzi1JaakZR2gAcBq0ik5+wPS3xqH9fx5CAyEN96AgQPtK49scrIpZG4K213q9JOISH5SECOSR9wFDVnbXE0DVYr/m8nL3qL+od8A+LvJTYQs+gwiIpyuk5tpn5xW182uOrCISEGk6SSRPGSrhgvYK/BmrZDrMNVjDL23L2fFR0Npeeg3zvv48X8dBtKqw3PElAt1Ov+VmvbJ7fSTiEhBoJEYkcuUdUVPTkZKejarwi0lkvB9YiBlfl4HwOZKdXmmSySHyoYBuJzKuZLTPpeyr5KISH5SECNyGTIvk7YAvW6szIKowx7rs8ScOU/ijA+4duKLWM+exfj782rLh5jT5A6MJWNw1DaVkzVAutLTPtrcUUQKEwUxIpfog3X7HZZJG+Cz/x526pd5pOTb/2wmaPhg2kb/D4CTDZoQvOgzasWXwJolAXj93hMuR3RcJRAr8BCR4khBjMgliIlPcrlM2hUvi4Vq5f058+4HtBsxgtLJiSR7+TC5zSN83OxO1odUpmdNf4epnOMJF7hrxkZ7IbzMIzqa9hERyaAgRuQSRJ9MdLlMOisvi4UpN1cg7MH7YNkyALaF1WJk10j2l68M/Jv7YvtZGHWIMV/tcDp/5hEdTfuIiCiIEbkkrnJTMrMC7/S6gVabVlDmwQfhzBmMry+TWvbmw2Z3k2b1ApzzWWyrj1ydVkueRUQcaYm1SBYx8Un25dHuZF2SbPnnBzKCjaltQ+j6f4MpM6g/nDkDTZti2baNiMkvg5e3vV/WfBZXq48gIydGuS8iIo40EiOSSW4KyWXNTQE4cCKR2uuWUvahh+H0adJ9fDg35jlK/99z4O1NT5yL32W240i803WswJLBLTP2VBIRETsFMSL/cFdILvPy6KwcclP+/puwUU/AkiUA7AipzsiuT7HvYjUmbDtmD4bc5bPExCcxaYVzsvDoLrUVwIiIuKAgRuQfczZEX3ohuS++gMGD4dQpjLc3U1v0ZEbz+0j18oZMwRDgUPclM3dTSQ2uKXMZ70pEpOhSECNCxijIhz9FO7VbLXhOpj1xAoYMgUWLMn5v2JBfX53K2z+fd+iWZgyv/ecPlu+McTtVpf2LRERyR4m9IrhfMt2/9bXuR2G++grq1s0IYLy84P/+D/77X0La3ITV4tx96Y4Yj3seaf8iEZHc0UiMCK5HQaxA1wahbNx/kkBfLxJT0jKmgVLPw7Bh8PnnGR3r14e5c6FxYwDCfHGoquuOq6kqFbITEck5BTEi/DsKkrmc/12Nwrl7xkaHwKbjvk289eMH+J8+kTH6MmYMvPAC+Pk5nM8WjCz9LYbXlv7h8prupopUyE5EJGcUxIj8I/MoSICv1SGACUo6y4urZ9Jj11oALtaug8/H86BZM7fnCwvyp2uDMMYv+8MpYVd1X0RELp9yYkQyCQvyp0X18iSmpNkDj1v//C8rPxpCj11rSbNYea/5vWz9apXHACbz+TLnuViBx9tE8POYW93WnxERkZzRSIwUSzHxSW6XOkNGjkxQ8jle+OFD7t25GoD95SoxoutT7LimNhuuKZfjaynPRUTkylAQI8VOTqryhm38kV8+iyTgeCzpWPjwxruZ0vpBUn1LMKpTLaJPJmb0y2FAojwXEZG8pyBGigXbyEugr5fnqrzx8TBiBMyeTQCQWv06do9/i5tatGBuSjq/HT3DpOW7c7QtgYiIXFkKYqTIyzzyYgGnejD2pc7/3QD9+sHhw2CxwJNP4j1uHPUCMlYQxcQn8eCsTbnalkBERK4cBTFSpGXdD8lV1ZbSKUk0GDca5szOaKheHebMgZtvdujnaluAHG9LICIieU5BjBRp7vYjsrn54K/MWDuDwL+PApD4+BMETnkdAgOd+mpbABGRgkVLrKXIiolP4tS5ZJdbAASkJPHqyvf4ZMFzlPr7KIeDQnig13jqle3Kwt9P2V+/cf9J+9YArpZLj+pUS6MwIiL5RCMxUqTYEnh3HI23J+BmjWGaH9rB68umUSX+bwA+adSFCe36ct43IxgZu3gHZ5Iuukzg7dmsCmeSLjLxn2OTVuymTICPkntFRPKBxRgPm7sUYgkJCQQFBREfH0/p0qXz+3bkKsicwJuVBfBPucAz6+fRd+t3ABwpXYFRnZ9kY7UbnPtbwGSZNtow5hYAWk1c4zSltGHMLRqRERHJA7n5/tZIjBQJWRN4s2pyZBcz10ynXMxhAD5r2InxtzzGOT/nfBYLjgEM/JvAazBK7hURKSAUxEiR4C6Bt8TFC4xc/wmPbfkWK4a0a65h5VPjePZEsMvzWCwwplNtJq3Y7TTaEuBr5dDp80ruFREpIBTESJHgauVQ46N/8PqyaVQ/nbHy6PxDjxAw/W1uwBdrlikhC/DqXXVpXyeEsCB/ygT4uN3R2sK/001eFos2chQRyScKYqRQyrr30fq9J+xTQH6pKTy9YT4Dor7Gmp5ObMlyjOk0jPWVmjFhbzw9m1VhQo/6DkHK+B71HJJzPe1obQCrgem9G9G4alkFMCIi+URBjBQ6Wfc+Gv3P9I8Bbji2hzeWTuW600cA+LJee15pP4CEEiUhU4XdnGzKaNvvaOP+k05TVelAuUA/BTAiIvkoz+vETJgwgWbNmlGqVCkqVqzIXXfdxZ49exz6GGN46aWXCA8Px9/fn3bt2rFr1y6HPsnJyQwbNozg4GACAwPp3r07R44cyevblSssa62VvDhf1r2PJi3fjffFi4xaN5ev5j/DdaePcDywLCsnzGRk16cyAph/2JJwISNIaVG9fLaBiG2qKjPlwYiI5L88D2LWrVvHkCFD2LRpE6tWrSI1NZWOHTuSmJho7zN58mSmTJnC9OnTiYqKIjQ0lNtuu42zZ8/a+0RGRrJkyRIWLFjAhg0bOHfuHN26dSMtLS2vb1mukIVRh2g1cQ29P9xMq4lrWBh16LLP6SqBt27MPr6b9ySDN32Jl0lncd1b6NT/PUIevDdPgo+sRe6UByMiUjBc8ToxJ06coGLFiqxbt442bdpgjCE8PJzIyEhGjx4NZIy6hISEMGnSJAYOHEh8fDwVKlTgk08+oWfPngAcO3aMypUrs2zZMm6//fZsr6s6MfkrJj4p23oqWfNacnte39SLDNu4gCc2LcLbpHMyoAzP3j6E1bVa2nNcFkYd8pj7ktv35Gn6SURELl+BqhMTHx8PQLly5QCIjo4mNjaWjh072vv4+fnRtm1bNm7cyMCBA9m6dSsXL1506BMeHk69evXYuHGjyyAmOTmZ5ORk++8JCQlX6i1JDmS3WWLWvBZbRdzs2EZF5s/4hslLp1DnxIGMAw88QOq4yfQ1AbycKcjISe5LTtlyZEREpGC4okGMMYann36a1q1bU69ePQBiY2MBCAkJcegbEhLCwYMH7X18fX0pW7asUx/b67OaMGECL7/8cl6/BblEnjZLdJXXYku4zRokZB6tAThwLI4uX33A/fMnY0lNJbVcefa/PJnSD/ciLMifUBf3ouBDRKRouqJBzNChQ/ntt9/YsGGD0zGLxTFZwRjj1JaVpz5jx47l6aeftv+ekJBA5cqVL+GuJS/YRkyyTuW4W+3jqupt5tEaC1Dn+F+8vnQapY7/BcDhWzvTo+6DnDhSBuvENTkezRERkaLhigUxw4YN49tvv2X9+vVUqlTJ3h4amvH/yrGxsYSFhdnbjx8/bh+dCQ0NJSUlhbi4OIfRmOPHj9OyZUuX1/Pz88PPz+9KvBW5RO6mcrIbpYk+mUigr5c9gPFOS2XQ5i8Z/vMCfNNTOe1fmhdvG8TSOjeT/s/2jp5Gc0REpGjK89VJxhiGDh3K4sWLWbNmDREREQ7HIyIiCA0NZdWqVfa2lJQU1q1bZw9QmjRpgo+Pj0OfmJgYdu7c6TaIkYLJ1TJmd6t91u89YV/NdNe7GcXlap44wOL5Ixn503x801P5vsZNdOz3Lt/VaWMPYGwyL58WEZGiL89HYoYMGcJnn33GN998Q6lSpew5LEFBQfj7+2OxWIiMjGT8+PHUqFGDGjVqMH78eAICAujdu7e9b79+/RgxYgTly5enXLlyjBw5kvr169OhQ4e8vmW5SjLnt2StiPvrkTO8+M3v2AZnrOlpDNz8FU/+/Bl+aamcKVGS/7ttEN/WaQsWS0b0rT2MRESKtTwPYt577z0A2rVr59A+Z84c+vTpA8CoUaNISkpi8ODBxMXF0bx5c1auXEmpUqXs/adOnYq3tzf3338/SUlJtG/fnrlz5+Ll5ZXXtyxXQdb8ljGdazOwbXXW7z3BmK92kDlF5rqTh3hj2VRuiNkHwKrrbuTZ24dysmTGCjfbyA1gz7mxAqM61dJUkohIMXLF68TkF9WJuTpyUuvFVc0YgCG3VGfG2v0Ooy/9o75mxE/z8Uu7SIJfIC91eJzFdW8Fi4XpvRpRvqSfQ37NB+v3M3H5bkwul2qLiEjBVKDqxEjR5anWS+bgxlXNGMAhgLn21BHeWDaVxscytqhYc21TxnYayt+lgoGM0Zcm1TI2W7RtZRDo68WkfwIYcEzuBXJdSE9ERAoXBTFySTzVelm/94TTBo0WIGscY8gYfem75Vue+ekTSqSmkOAbwKvtB7Cofgf4J/HXasG+PDvrtFTWc6YZw5wNB5i14a9cF9ITEZHCRUGMXBJ3FXm3HohzCm4mr9jD4Fuq8+7a/Q79q8cdY/4vHxC2YysA66s1YnTn4cQGVQCTsXSuf5sI+rbKWOH23a9HHc7tah7UCvYAxnZ9Lb0WESmaFMTIJXFX6yXriiHICG5aX1eB0v4+GdM/6ek8tvU/jN3wMd7JF0gvVYodT/0fZ3v0YnG1jOTdzLVlMo++uGK7Dy+LhX6tqzHzp2in62ctpCciIoWfghi5JO4q8japWtZtIbsW1ctzd+kLlHh8AKWjfsk42L491tmzaVi1Kg2znB+cp62y8rJYWDy4BedT0u3Lq2dtiNbSaxGRYkBBTDHnaXVRdiuP3FXkdbndQCk/ePddKo4aBefPQ2AgvPEGDBxoz31xxV1SMPy71LphZcc9ttxtdyAiIkWLgphizNPqopzsMu0uyGlTswLTHmiI1WKhcdWyhMX9DR06wNq1GR3ateP4tBn8WbICEQkXPAYYrqatrMA7vRtlnDsXwZWIiBQtqhNTTLmq3eJlsbBhzC0Abo/ZAgJ3QY5DO4YvLDtoOn08nDsHAQEwaRILm3Vj7Ne7crx6aGHUIaeRFa02EhEpmlQnRrLlbnXRgZPnMRiPu0y7W15dO7SUvT084TiTlr1N04PbMzrdfDPMmUNMcDhjMwVIOVk9pJEVERFxRUFMMeVpJ2nA5RROgK+VmPgk/vPbMZdBTtSBONLTDT1/W8nza2ZRKiWJJG8//nrqWeIHDCIiuJTH4MlTcBIW5K/gRUREHCiIKUay5rB4SoDNfAwgHbjr3Y2A6/osXhYLtVPPMG/Ri7SN/h8AW66pw6gukRzwuob02VH2wneegicREZGcUhBTTLjLYXE3TdOzWRVqh5birhkb7WX93SVPeQHjzkTRoPPrlE5OJNnLh8ltHmFe0+6kWb0ctgWYvGIPozvXZvLyPVo9JCIil0VBTDHgaYsAT9M0iSlpZJf2PaF5ObpOf5HSa1YBsC2sFiO7RhJdvjIv31mXF77Z5dA/zRgaXFOGDWNuUY6LiIhcFgUxxUB2eSi2aaZAXy8SU9Ls002u8mbsjOHuXWvp8e4s/M4lkOzlzZSbH2JWs7tJs3oBUDbA1+3UkXJcRETkcimIKQY8JfG6KumfebppQo/6jPlqh8NUUoVzcYz/fjq3/bkZgPMNGnHXjQPYW76Kw/mbVCurwnMiInLFKIgp4myjLK7yUACXJf0zTze1qVkBi4WMaSVj6P7Hel5e9T5lL5wlxerNtNa9uXnmZO75+xyTlu+272FkC1a0PFpERK4UBTFFWNZk3tGdatOgUhl7MLFx/0m3Jf2z1owJTozjtZUz6LQ3Y8+jHSHVGdn1Kf6sGEFQpgDGAozqVMuhGJ2mjkRE5Eqw5vcNyJXhKpl38oo9DqMhtmkmV2zTTRHBgXTb/RMrZw+h095fuGj14s3WD3L3w2/yZ8UIRnWqZQ9gIGMF0+QVe4iJT7ryb1JERIo1jcQUUTkpKpe1VoyNfToo5RwMGcL0bxYB8HvFCEZ1fYo7Hu3CJ/+M6Fxq8ToREZHLpSCmCIqJT+LUueQcFZXLnLMS4GvlfEp6xmjND8ug6xNw4gR4eXF2xCgS+gzjw/AyTsGJiteJiEh+UBBTxGTOg7GAPSnX08ogh5yVU6fgiX7w+ecZv9evD3PnUqpxY25ycb3sKv+KiIhcKQpiipCseTAGsBqY3rsRjauWzT6w+OYbGDgQ/v4bvLxgzBh44QXw8/P4Mq1AEhGR/KAgpghxlZ+SDpQL9PMcWJw+DU8+CfPnZ/x+/fUwdy40a5bja2sFkoiIXG1anVSE7DgS79SWbX7Kf/4D9eplBDBWK4weDVu35iqAERERyQ8aiSkiYuKTmLRit1P7qM61XI6QxB6Mwfr0U1RcvDCjoVYtmDcPmje/0rcqIiKSJzQSU0S4mkoCaHBNGae2dW/Nw9SvT8XFC0nHwu6HHodt2xTAiIhIoaKRmCIgx0uq4+M5P+xJ2n4yD4C/yoYzsstT/FrpejakQJhSWkREpBBREFMA2fY7su0m7eqYbcfpHUfjHUr+u11SvWoV9OtHwOHDpGNhTtPuvN7mYS74lAAVpxMRkUJIQUwBk3W/I9tu0lmPueJySfXZs/DMM/DBBwCkRlzLgy0fZ3OlevbXqTidiIgURsqJKUBc7Xf07OKdxMQnOR1zx2FJ9erVGcXq/glgGDYM7x2/0ePJXnhZMjZNyjpiExOfxMb9J7X3kYiIFHgaiSlAPO1DZNtNOjtWIKJEOgwZAjNmZDRWqwZz5kC7dgD0bBbosjhd1mq/A26OoG/rCE0ziYhIgaSRmALE1a7SmXeTdrfjdGY3HtpByRub/BvAPPEE7NhBTKPmDiMsYUH+tKhe3mEEJmu135k/RdNq4hoWRh3Ko3coIiKSdxTEFCC2fYhcTfVkPZaVf8oFXvzhAxZ8PpaSxw6TWqky/PADzJjBwj9O02riGnp/uNltUOJuiXbmKS0REZGCRNNJBYynfYhsx7YeiGPYgm2Yf4KOpkd28cbSaVQ7EwPAZw07cd3c97jxhmpu82za1KzgcG7bSI+rQCZNq5dERKQAUhBTAHnahygsyJ9yJRMxBkpcvMDI9Z/w2JZvsWI4ViqY0Z2Hs/HaJmyICAE859lkvoZtpGfsVztIz3JNrV4SEZGCSEFMPvJUD8ZVH8BeI6bJsT+YvHQa1U8fBWBh/dt4rX1/zpco6bDayNUIi7ugxDbSM2fDAWZt+It0V/VmRERECgiLMSYHa14Kn4SEBIKCgoiPj6d06dL5fTtOPNWDcdXHlgnjm5rC0xvmM+C/X2M16cSWLMdznYdz45CHaFCpjNMUlO08zy7eSZox9qAk67WyiolPcjmlJSIiciXl5vtbQUw+iIlPotXENU6jIxvG3OKwWihrnxuO7eGNpVO57vQRAE7f24s/x75K5erh2QYaCkpERKQwyM33t6aT8oG7PJWtB+IoVzJj6ihzH9/Ui0T+/CkDNy/Gy6RzPLAsYzsNpf/EJ2lRvXyOrukpz0ZERKQwUhCTD1zlqViA4Qu22aeXRneqjdUCdY/t441lU6l1MmNZ9OK6t/By+8c5F1Ca15RsKyIixZiCmCvIXeKubSWQLU/FSkZxuczLoKcu3cmiv1fR8JP38DbpnAgow3O3D2FlzRZKthUREUFBzBWTXeJu5pove4+f5e3Vf9qP1f17P28snUqdEwcA+LZOG17sMJC4gCCswOLBLWhYuexVfkciIiIFi4KYKyCnBebW7z3h0M8n7SJDfvmCIb98gU96GsllyxHZ5nGW125tf006cD4layUXERGR4kfbDlwBnhJ3bbIGOnWO/8XXH48g8ufP8UlP4/CtnTnz3//xfZ3WDufJTeE57UgtIiJFmUZirgB3JfyHL9hGYkoqPZtVsQc63mmpDNr8JcN/XoBveioXgsqSNPUtKvd5CCwWJvSwONV4yUkujKfprJwU2RMRESnoVCfmClkYdchtCf8NY24BoO+Ij5i8dBoNYjPyYVbWaEHDpZ8RUqOaw2tyW+PFUx2azFNY7orsiYiI5BfViSkAejarQqCfN0M/2+bQnmYMB2ITaLH4I5Z+/BJeF1M4U6IkL902iIqP96F+xRCnc+W2xoun6ayc5OqIiIgUBgpirqAmVcs6TSvVOnWYJr1fhP9txQu40KkL83qP5tvfz5K+4QCzfj7AhB71aVOzwiVP+bjbLwkXU1zaoVpERAorJfZeQbZ6MF4WC9b0NAb9dzHLPo7E939bISgI5s0j7vNFvPX7WYfRkTFf7aDVxDX0/nAzrSauYWHUoUu+Lvy7iaMtqMpMO1SLiEhhpZGYPJY1abZnsyrcYonDf0B/Sm3fAkBcuw6kzHiPkDrXEb3/pNPoiAHMZU752OrQZM2lyVxkT0XzRESkMFMQk4eyrgiaeOf13L9xCRWfew4uXCAlsBTPt32ML+p1wPrxHib08KVNzQouVzJldqlTPq5yadwFNyIiIoWNppPySNa6L1VOHeXa+7rBiBFw4QLJt3bglkff5ov6t4HFYh9hARymfqxk7KOUWV5P+YQF+dOienkFMCIiUqhpJCaP2FYEWUw6j279D6PXzcM/NZnUwJJ4T5vK1nZ3cnTWfx1eYxthyTo6sn7vCU35iIiIZENBTB6JCA6kanwsk5dOo/nhjBGWn6s2pOznH3N9iwZExCe5XDFkG2HJPPWjKR8REZHsKYi5TDHxSUQfP0vdbz5l9dzn8L6QRKJPCcbf8hif3tAZ67eHmeBdhp7NquQqqTa3tWFERESKGwUxl8C2AmnH0Xjmf76OScveIujQbwCca9Gazg37cDgoFHBcXaQRFhERkbyjICaX7CuQ0g29f13B8rUfUTIlifM+fkxq24egkU9yeO1fDq+xVcstVzJj6XWL6uXz6e5FRESKjgIfxMyYMYPXX3+dmJgY6taty7Rp07j55pvz5V5sK5BC448zadnb3HxwOwCbK9XlmS6RHCobBlkCGMhYbTR8wTb70uvRnWpTv1KQNmAUERG5DAU6iFm4cCGRkZHMmDGDVq1a8cEHH9C5c2d+//13qlS5+psWRp9M5LY9G3lj6VRKpSSR5O3H5LaPMLfJHRiL69XqVjKK12WuyDth+e6MY9qAUURE5JIV6DoxU6ZMoV+/fvTv3586deowbdo0KleuzHvvvZcv9xMRHMiRMqGUSE1hyzV16NL3beY0vdNtAPNC1zq83bsR7urY2fJlYuKTrtxNi4iIFFEFdiQmJSWFrVu3MmbMGIf2jh07snHjRqf+ycnJJCcn239PSEjI83sKC/LnkSfupFdqCv8LrQFWLyzgMkjxsljo0iAMwGNFXm3AKCIicmkK7EjMyZMnSUtLIyQkxKE9JCSE2NhYp/4TJkwgKCjI/lO5cuUrcl89m1XhnXcG8+nAVm5HWawW7Muns27GmJU2YBQREbk0BXYkxsaS5cvfGOPUBjB27Fiefvpp++8JCQlXLJCxBScxLgrYWYElg1vSsHJZe1vmpdW/HT3D5OV7VI1XRETkMhXYICY4OBgvLy+nUZfjx487jc4A+Pn54efnd7VuD8A+ypK1gF3mACZzX9ueRd0bhqtWjIiIyGUqsEGMr68vTZo0YdWqVdx999329lWrVnHnnXfm4505upQCdqrGKyIicvkKbBAD8PTTT/Pwww/TtGlTWrRowcyZMzl06BCDBg3K71tzoKBERETk6ivQQUzPnj05deoUr7zyCjExMdSrV49ly5ZRtWrV/L41ERERyWcWY4y7MiaFWkJCAkFBQcTHx1O6dOn8vh0RERHJgdx8fxfYJdYiIiIiniiIERERkUJJQYyIiIgUSgpiREREpFBSEHOJYuKT2Lj/pDZvFBERyScFeol1QbUw6hBjF+8g3WTskzShR316NquS37clIiJSrGgkJpdi4pPsAQxk7Jv07OKdGpERERG5yhTE5FL0yUSHDR8B0ozhwMnz+XNDIiIixZSCmFyKCA7EmmUTbS+LhWrBAflzQyIiIsWUgphcsu1c7WXJiGRsO1dr7yQREZGrS4m9l+BSdq4WERGRvKUg5hJp52oREZH8pekkERERKZQUxIiIiEihpCBGRERECiUFMSIiIlIoKYgRERGRQklBjIiIiBRKCmJERESkUFIQIyIiIoWSghgREREplBTEiIiISKGkIEZEREQKpSK7d5IxBoCEhIR8vhMRERHJKdv3tu173JMiG8ScPXsWgMqVK+fznYiIiEhunT17lqCgII99LCYnoU4hlJ6ezrFjxyhVqhQWiyVPz52QkEDlypU5fPgwpUuXztNzFzV6VjmnZ5VzelY5p2eVO3peOXelnpUxhrNnzxIeHo7V6jnrpciOxFitVipVqnRFr1G6dGl9yHNIzyrn9KxyTs8q5/SsckfPK+euxLPKbgTGRom9IiIiUigpiBEREZFCSUHMJfDz8+PFF1/Ez88vv2+lwNOzyjk9q5zTs8o5Pavc0fPKuYLwrIpsYq+IiIgUbRqJERERkUJJQYyIiIgUSgpiREREpFBSECMiIiKFkoIYERERKZQUxOTSjBkziIiIoESJEjRp0oSffvopv28p37300ktYLBaHn9DQUPtxYwwvvfQS4eHh+Pv7065dO3bt2pWPd3z1rF+/njvuuIPw8HAsFgtff/21w/GcPJvk5GSGDRtGcHAwgYGBdO/enSNHjlzFd3F1ZPes+vTp4/Q5u+mmmxz6FJdnNWHCBJo1a0apUqWoWLEid911F3v27HHoo89Whpw8K322Mrz33ns0aNDAXoG3RYsWLF++3H68IH6mFMTkwsKFC4mMjOS5555j27Zt3HzzzXTu3JlDhw7l963lu7p16xITE2P/2bFjh/3Y5MmTmTJlCtOnTycqKorQ0FBuu+02+yadRVliYiINGzZk+vTpLo/n5NlERkayZMkSFixYwIYNGzh37hzdunUjLS3tar2NqyK7ZwXQqVMnh8/ZsmXLHI4Xl2e1bt06hgwZwqZNm1i1ahWpqal07NiRxMREex99tjLk5FmBPlsAlSpVYuLEiWzZsoUtW7Zw6623cuedd9oDlQL5mTKSYzfeeKMZNGiQQ1vt2rXNmDFj8umOCoYXX3zRNGzY0OWx9PR0ExoaaiZOnGhvu3DhggkKCjLvv//+VbrDggEwS5Yssf+ek2dz5swZ4+PjYxYsWGDvc/ToUWO1Ws2KFSuu2r1fbVmflTHGPProo+bOO+90+5ri+qyMMeb48eMGMOvWrTPG6LPlSdZnZYw+W56ULVvWzJo1q8B+pjQSk0MpKSls3bqVjh07OrR37NiRjRs35tNdFRz79u0jPDyciIgIHnjgAf766y8AoqOjiY2NdXhufn5+tG3bttg/t5w8m61bt3Lx4kWHPuHh4dSrV69YPr8ff/yRihUrUrNmTQYMGMDx48ftx4rzs4qPjwegXLlygD5bnmR9Vjb6bDlKS0tjwYIFJCYm0qJFiwL7mVIQk0MnT54kLS2NkJAQh/aQkBBiY2Pz6a4KhubNm/Pxxx/z/fff8+GHHxIbG0vLli05deqU/dnouTnLybOJjY3F19eXsmXLuu1TXHTu3JlPP/2UNWvW8OabbxIVFcWtt95KcnIyUHyflTGGp59+mtatW1OvXj1Any13XD0r0Gcrsx07dlCyZEn8/PwYNGgQS5Ys4frrry+wnynvK3LWIsxisTj8boxxaituOnfubP/v+vXr06JFC6pXr868efPsyXF6bu5dyrMpjs+vZ8+e9v+uV68eTZs2pWrVqixdupQePXq4fV1Rf1ZDhw7lt99+Y8OGDU7H9Nly5O5Z6bP1r1q1arF9+3bOnDnDV199xaOPPsq6devsxwvaZ0ojMTkUHByMl5eXUzR5/Phxp8i0uAsMDKR+/frs27fPvkpJz81ZTp5NaGgoKSkpxMXFue1TXIWFhVG1alX27dsHFM9nNWzYML799lvWrl1LpUqV7O36bDlz96xcKc6fLV9fX6677jqaNm3KhAkTaNiwIW+99VaB/UwpiMkhX19fmjRpwqpVqxzaV61aRcuWLfPprgqm5ORk/vjjD8LCwoiIiCA0NNThuaWkpLBu3bpi/9xy8myaNGmCj4+PQ5+YmBh27txZ7J/fqVOnOHz4MGFhYUDxelbGGIYOHcrixYtZs2YNERERDsf12fpXds/KleL82crKGENycnLB/UxdkXThImrBggXGx8fHzJ492/z+++8mMjLSBAYGmgMHDuT3reWrESNGmB9//NH89ddfZtOmTaZbt26mVKlS9ucyceJEExQUZBYvXmx27NhhevXqZcLCwkxCQkI+3/mVd/bsWbNt2zazbds2A5gpU6aYbdu2mYMHDxpjcvZsBg0aZCpVqmR++OEH87///c/ceuutpmHDhiY1NTW/3tYV4elZnT171owYMcJs3LjRREdHm7Vr15oWLVqYa665plg+qyeeeMIEBQWZH3/80cTExNh/zp8/b++jz1aG7J6VPlv/Gjt2rFm/fr2Jjo42v/32m3n22WeN1Wo1K1euNMYUzM+Ugphcevfdd03VqlWNr6+vady4scMyveKqZ8+eJiwszPj4+Jjw8HDTo0cPs2vXLvvx9PR08+KLL5rQ0FDj5+dn2rRpY3bs2JGPd3z1rF271gBOP48++qgxJmfPJikpyQwdOtSUK1fO+Pv7m27duplDhw7lw7u5sjw9q/Pnz5uOHTuaChUqGB8fH1OlShXz6KOPOj2H4vKsXD0nwMyZM8feR5+tDNk9K322/vXYY4/Zv98qVKhg2rdvbw9gjCmYnymLMcZcmTEeERERkStHOTEiIiJSKCmIERERkUJJQYyIiIgUSgpiREREpFBSECMiIiKFkoIYERERKZQUxIiIiEihpCBGRERECiUFMSIiIlIoKYgRERGRQklBjIiIiBRK/w9TTU8xoIPKagAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X, y1_data, '.')\n",
    "\n",
    "x = np.arange(0, 300, 0.02).reshape(-1, 1)\n",
    "\n",
    "# 预测线\n",
    "y = regr.predict(x)\n",
    "plt.plot(x[:, 0], y,color='red')\n",
    "plt.title(f'y = {regr.coef_ } x + {regr.intercept_}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "7fd06dde-e88c-4bc4-a78a-ed63f045ea64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-25 {color: black;background-color: white;}#sk-container-id-25 pre{padding: 0;}#sk-container-id-25 div.sk-toggleable {background-color: white;}#sk-container-id-25 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-25 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-25 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-25 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-25 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-25 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-25 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-25 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-25 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-25 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-25 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-25 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-25 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-25 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-25 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-25 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-25 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-25 div.sk-item {position: relative;z-index: 1;}#sk-container-id-25 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-25 div.sk-item::before, #sk-container-id-25 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-25 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-25 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-25 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-25 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-25 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-25 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-25 div.sk-label-container {text-align: center;}#sk-container-id-25 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-25 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-25\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-25\" type=\"checkbox\" checked><label for=\"sk-estimator-id-25\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 构建模型\n",
    "regr = LinearRegression()\n",
    "regr.fit(X2_train, y2_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "4ab3f63c-62dc-4575-980b-9aa45d987bf5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'y = [3.00255778] x + 5.750789480560741')"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X, y2_data, '.')\n",
    "\n",
    "x = np.arange(0, 300, 0.02).reshape(-1, 1)\n",
    "\n",
    "# 预测线\n",
    "y = regr.predict(x)\n",
    "plt.plot(x[:, 0], y,color='red')\n",
    "plt.title(f'y = {regr.coef_ } x + {regr.intercept_}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "320fbaa2-0664-49ae-9773-ec71ac9bef8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-26 {color: black;background-color: white;}#sk-container-id-26 pre{padding: 0;}#sk-container-id-26 div.sk-toggleable {background-color: white;}#sk-container-id-26 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-26 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-26 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-26 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-26 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-26 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-26 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-26 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-26 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-26 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-26 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-26 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-26 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-26 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-26 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-26 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-26 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-26 div.sk-item {position: relative;z-index: 1;}#sk-container-id-26 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-26 div.sk-item::before, #sk-container-id-26 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-26 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-26 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-26 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-26 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-26 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-26 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-26 div.sk-label-container {text-align: center;}#sk-container-id-26 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-26 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-26\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-26\" type=\"checkbox\" checked><label for=\"sk-estimator-id-26\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 构建模型\n",
    "regr = LinearRegression()\n",
    "regr.fit(X3_train, y3_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "ca5b43d8-0ccc-4762-a19b-7e5e3aff0015",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'y = [2.99610557] x + 5.587965774448037')"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8xP79+0VOTo76B4AYMWKEyMnJUZ+/T58+4rHHHtNot2TJEvVIryowvHjxovD19RULFy7UaNuhQwfRtGlTkZOTI+7duyeEkH5xUSgU4oMPPtDoV1FRkWjQoIHo0qWL+pi1/z6Li4tF8+bNRcuWLQ22kXtNyTjmxFQwo0ePRnFxMT777DOsXLkSDx48kFWf4MKFC/D29pb1s2vXLqv6WFhYiP79+2PHjh3YsmULunXrJvu1NWrUwNatW/HXX3/hjz/+wPXr1zF79mycOXMGnTp10mjbu3dvXLx4EWfOnMGJEyeQkZGB4OBgANBoq5oH1yb+zv2xJCGvRYsWuHHjhkZdEAA4evQoAMiqxyKEkPXepvqpqo3z2muvmTyXXKtWrcIPP/yARx99FIsXL8aBAwdkva5u3bp45JFH1D8tWrQAADRu3FjjeOPGjS3um9zrJvf1v//+Ozw9PdG6dWuNdvXq1UNwcLDe/AlAuu4+Pj546aWX9D7foEED7Nu3D1euXMGRI0dw/fp1vPDCC8jOzpb1/VSR+x0x1O7w4cM4fPgwXn75ZXUSsyHGvkvHjh3DgwcP8NhjjyEoKEj9AwArV65EUFAQfvjhB3Xb/fv3a7RT5Zd07doVderUAQCcP38eBQUFePPNNzXa7t27FydPnkRQUBDi4+MBAH/88QeEEDq5f97e3oiOjtb4e7L236eXlxdat26NM2fO6H3enGtKJjgxgCInGTJkiKhfv76IjIwU/fv3l/UaR00n3b9/X/Tu3Vv4+PiI//3vf5Z8PB0LFy4UHh4e4tChQ0bbFRYWirZt24qHH35Y4/jy5csFAPHVV19pHH/jjTeEh4eHuHDhgt7zyVlinZSUpHF85MiRspZw7tu3T3h4eIi4uDij7YQQYvTo0QKA+P3333Weu3//vqhWrZqskQm5IzFHjhwRvr6+4uWXXxaFhYUiJiZG1KlTR2ckSw5rlljrY85102fDhg0CgPj444/Vx959910BQGfK8/Tp0wKA3vfKzMwUXl5eGiM6cowfP174+/tr5K+cPHlSKBQKMWLECI22quXL2nk12kxdE9X3+MSJE0bPY+q7lJGRIXbs2KHzA0D0799f7NixQ730e9++fTrtVPlDn376qdizZ48QQsor0XfO6OhoUbduXbFjxw71dO+uXbsEAJ1/c/fv3xdRUVEa/+6t/fdZUFAgGjVqJJo3b673ebnXlExjEFMBHThwQD1Ebc5Uja0YC2L69u0rAIjp06eLffv2afwcP35co239+vV1pohWrFghVqxYIX755RexceNG8dprrwmFQiESExN13mvs2LHi22+/FTt27BCrV68W0dHRIjg4WBw7dkyjXVFRkWjdurUIDAwUCxcuFMnJyWLKlCnC09NTjB07VqPthQsXxDfffCO++eYb0atXL/Wc9zfffKMz3fDaa68JpVIpPvjgA7Fz504xbdo0oVAoxPvvv6/RrmXLlmLevHniv//9r0hOThbvv/++qFq1qoiIiNDINfnqq6/Ec889Jz777DP151dNNQwbNkzv38X69et1augYIieIuXv3rmjSpIl46KGHxN27d4UQ0rRKYGCgePrpp02+hzZrghi5100I3e/ShQsXRPv27cUnn3witm7dKn788UcxdepUUalSJdGsWTP1ZxNCiEuXLomqVauKmjVrimXLlomUlBSxatUqUa9ePeHv76936ispKUmn3ou2uXPnirVr14odO3aI9evXi2effVZ4eHjoBNNCSN9lDw8PMWHCBJGcnCyWLFkigoKCRKtWrURhYaFF10QI6WYcFBQk2rdvb/xiC/O+S2XBRJ0YFUM5Mfro+66WlJSINm3aiEqVKokZM2aIn3/+WWzcuFF06dJFb7An999nu3btRGJiotiyZYvYsWOH+Pzzz8Wjjz4qPD09xffff6/TN3OuKZnGIKaCqlu3rmjatKlT3ttYEKMKrvT9aCdz1qlTR9SpU0fj2PLly0XTpk2Fn5+fqFy5snj88cfFli1b9Pbj6aefFuHh4cLb21uEhYWJYcOGGRxVuXnzphg5cqQIDQ0V3t7eolGjRuKDDz7QKVCl+mz6foYOHarRtqioSMycOVPUrl1b+Pj4iEaNGolPPvlE570HDRokGjRoIPz9/YW3t7eoU6eOGDVqlM5NZ9++faJbt24iLCxMeHt7Cz8/P9GmTRuxdOlSg4W0unfvLvz9/U2OngkhL4h58cUXhZ+fn07A+c033xjN/zDEmiBG7nUTQve7dOvWLfHMM8+IunXrCl9fX+Hj4yMaNmwoJk+erDdR9+zZs+Kll14SdevWFUqlUtSuXVsMHDhQ5zqoNGrUSNStW9do/ti7774r6tevL5RKpahataro1auX2L17t962Dx48EElJSaJBgwbC29tbhIeHi9GjR2sUbTT3mgghBcYAxGeffWawnyrmfJfKclQQI4RUhG769Onq/0fUqFFDdOnSRWzdulWnrdx/nxMnThTR0dEiMDBQeHl5ibCwMPHMM8+IvXv36u2bOdeUTFMIYeOiHuTyjhw5gujoaCxZskRnbxVHWLNmDYYPH44///wTderUMVkQipyrtLQUpaWl6NatG27evGkwx4OIyNGY2FuBnDt3DikpKXj99dcRHh6OYcOGObU/DRo0gLe3t8YGkOR6nn32WXh7e6uLqhERuQqOxFQgw4YNw5dffommTZti+fLl6NChg1P6cfPmTWRkZKgfP/zwwxyNcWHnzp1T7wLu6+trsnIyEZGjMIghIiIit8TpJCIiInJLDGKIiIjILTGIISIiIrdUbrMpS0tLce3aNQQEBEChUDi7O0RERCSDEAJ37txBRESEyW0zym0Qc+3aNURGRjq7G0RERGSBy5cvo1atWkbblNsgJiAgAIB0EapUqeLk3hAREZEceXl5iIyMVN/HjSm3QYxqCqlKlSoMYoiIiNyMnFQQJvYSERGRW2IQQ0RERG6JQQwRERG5JQYxRERE5JYYxBAREZFbYhBDREREbolBDBEREbklBjFERETklhjEEBERkVtiEENERERuiUEMERERITO3AGnnspGZW+DsrshWbvdOIiIiInk2pF9C/KajKBWAhwJIfLYFBrap7exumcSRGCIiogosM7dAHcAAQKkApm065hYjMgxiiIiIKrCM7Hx1AKNSIgQuZN9zTofMwCCGiIioAosK8YeHQvOYp0KBuiF+zumQGcwOYnbv3o2nnnoKERERUCgU2LJli8bzQgjMmjULERER8PX1RZcuXXD8+HGNNoWFhRg3bhxCQkLg7++Pfv364cqVKxptcnJy8NJLLyEwMBCBgYF46aWXcPv2bbM/IBERERkWHuiLxGdbwFMhRTKeCgUSnm2O8EBfJ/fMNLODmPz8fERHR2Px4sV6n583bx7mz5+PxYsXIz09HWFhYejevTvu3LmjbhMXF4fNmzdj/fr1SE1Nxd27d9G3b1+UlJSo2wwZMgS///47tm3bhm3btuH333/HSy+9ZMFHJCIiImMGtqmN1KldsW7EY0id2tUtknoBAMIKAMTmzZvVj0tLS0VYWJhISkpSH7t//74IDAwUn376qRBCiNu3bwtvb2+xfv16dZurV68KDw8PsW3bNiGEECdOnBAAxP79+9Vt9u3bJwCIU6dO6e3L/fv3RW5urvrn8uXLAoDIzc215iMSERGRA+Xm5sq+f9s0JyYjIwNZWVno0aOH+phSqUTnzp2RlpYGADh06BCKi4s12kRERKB58+bqNvv27UNgYCDatm2rbvPYY48hMDBQ3UZbYmKieuopMDAQkZGRtvxoRERE5GJsGsRkZWUBAEJDQzWOh4aGqp/LysqCj48PgoKCjLapUaOGzvlr1KihbqMtPj4eubm56p/Lly9b/XmIiIjIddml2J1CoZnmLITQOaZNu42+9sbOo1QqoVQqLegtERERuSObjsSEhYUBgM5oyfXr19WjM2FhYSgqKkJOTo7RNn/99ZfO+W/cuKEzykNEREQVk02DmKioKISFhSE5OVl9rKioCLt27UL79u0BADExMfD29tZok5mZiWPHjqnbtGvXDrm5ufj111/VbQ4cOIDc3Fx1GyIiIqrYzJ5Ounv3Lv7880/144yMDPz++++oVq0aateujbi4OCQkJKBhw4Zo2LAhEhIS4OfnhyFDhgAAAgMD8eqrr2LixIkIDg5GtWrVMGnSJLRo0QJPPvkkAKBp06bo1asXRowYgeXLlwMAXn/9dfTt2xeNGze2xecmIiIiN2d2EHPw4EF07dpV/XjChAkAgKFDh2LNmjWYPHkyCgoKEBsbi5ycHLRt2xbbt29HQECA+jULFiyAl5cXBgwYgIKCAnTr1g1r1qyBp6enus1XX32FN954Q72KqV+/fgZr0xAREVHFoxBCCNPN3E9eXh4CAwORm5uLKlWqOLs7REREJIM592/unUREREQ6MnMLkHYu26V3s7bLEmsiIiJyXxvSLyF+01GUCkABYMTjURjeMcrl9lPiSAwRERGpZeYWqAMYABAAVuzJQIekFGxIv+TUvmljEENERERqGdn56gCmrFIBTNt0zKWmlxjEEBERkVpUiD88DBTZLxECF7LvObZDRjCIISIiIrXwQF8kPttCb4DgqVCgboifw/tkCIMYIiIiF+IKq4IGtqmNvfFP4PXH66lHZTwVCiQ829ylkntZJ4aIiMhFlF0V5KEAEp9tgYFtaju1T5m5BbiQfQ91Q/wcEsCwTgwREZGb0V4V5CqJtOGBvqgb4oeM7Hyn90Ub68QQERG5AH2rglSJtM6cwnHF0SEVjsQQERG5AH2rgpydSOuqo0MqDGKIiIicLDO3ABnZ+ZjSuwk8FVIk4wqJtMZGh1wBp5OIiIicSHu6ZkqvJmhZq6rDEmmNUY0OlQ1knD06VBZHYoiIiJxE33TNvG2nXSKAAf6pGaMaHfIA8GrHuk7tU1kMYoiIiJzE1adrAKlmTOrUrnj98XqAwrX2UWIQQ0RE5CSumMxryKrU8y6X4MsghoiIyELWVtfVnq5xhWRefVx1xIiJvURERBawVf2UgW1qo1Oj6g6timsuV03w5UgMERGRmWxdPyU80Bft6ge7ZAADuO6IEUdiiIiIzOSq1XXtyRVHjBjEEBERmclVp1fsLTzQVwpehAA2bABatQIaNXJafzidREREZCZXnV6xlqxE5TNngB49gEGDgDFjpIDGSTgSQ0REZAFHT6+otiaICvG3y3uZTFQuKAASE4G5c4GiIkCpBB5/HCgpAbycE04wiCEiIrKQenrFzmy5k7S+YMhQonKnRtWlNtu2AWPHAufOSQ169gQWLwYaNLDFx7MYgxgiIiIXZjLAMIOhYMhQovK1o38i/ON3gY0bpYM1awIffww89xygUOic39GYE0NEROTCzCk0ZyynxdiycO3KwZ6lJRiRvgWtereXAhhPT2DCBODkSeD5510igAE4EkNEROTS5K6EMjXlZCwYalc/GInPtsC0TccQffkE3t++FE1vZEiN2rUDli0DoqPt9REtxpEYIiIiO5K7NYGxdq92jFKPlOhbCSWn+J6pfZoG1vPH0av/h01fvSUFMNWqAStXAqmpLhnAAByJISIishu5CbmG2pU9rgDweqcoDO8QpZMLI6f4nmpZ+LRNx1AixD/BUIAS+OwzYPJk+N28Kb34lVekVUghIfa4LDbDIIaIiMgO5CbkGmrXJCxA47gAsHrPBQzvEKXzXnKnnHSWhV88Czw+GEhLkxo0by5NHXXsaKvLYFecTiIiIrIDuQm5htqlX8iRndBrTvG98EBftKvhg/DZbwOtW0sBjL8/8OGHwG+/AR07Wr07t6NwJIaIiMgO5I6OGGrXpm6QWVsbyCq+JwSwaRPw5pvA1avSsWeflZZNR0YCMD0FZu+ie+bgSAwREZEdyB0dMdQuOjLI7K0NjO6Gff480KePtET66lUgKgr44QdpCfXfAYypBOEN6ZfQISkFQ1YeQIekFGxIv2TVNbIWR2KIiIjsRO7WBIba2WRrg8JCYN48ICEBuH8f8PEBpkwB4uMBX/kJwgBsVnTPVhjEEBER2ZHcrQkMtbNqa4OffwZiY4GzZ6XH3boBS5YAjRvrbW5sCkzOCihH43QSERFVePZIZHVqcmxmJjB4MNC9uxTAhIUBX38NJCcbDGAA41NgpurMOANHYoiIqEKz5eaK9jynLCUlwNKlwNtvA3l5gIcHMGYM8N57QGCgrFMYmsIyWGfGicm9CiGEMN3M/eTl5SEwMBC5ubmoUqWKs7tDREQuKDO3AB2SUnSmT1KndtW5OctdlWPOOW3q11+BUaOAw4elx23aSDVfYmKMvszc1UaZuQXW5eiYYM79myMxRERUYcnN8zBnZMWWuSOyAoycHClJd8UKaQl11apAYiIwYoS0caMRlowYWZWjY2MMYoiIqMKSU8tFbuVdc84ph8kAQwjgyy+BSZOAGzekYy+9BHzwARAaavL85n4uV8TEXiIiqrDk1HKRW3nXnHOaYnJDxxMngK5dgaFDpQCmaVNg507giy9kBTCWfC5XxJEYIiKq0EzVYrFkZMXa+i6GAoxLl24g/KulwEcfAQ8eSHVeZswAJkyQ6r9Afo6LrUaMnIlBDBERVXhl8zy0gwBLV+VYkzuiL8Do8ecBxPSJBS7/XSX3qaeATz4B6tZVtzE0BaUvsHHF1Ubm4uokIiKivxnLQ5GzKseW+wptSL+EaZuOIfx2Fmb9vBxP/vmr9ETt2sCiRUC/fjrvrW9V1OTejTH3x1NG90Ky52ojc5lz/2YQQ0REBOuXRtu8NkxREfIS5sJ/biI87xcAXl5SEu/bb0u7Tpfpd0Z2Pm7lF2Hs14d1TqNQSDnAlnwmZ+ASayIiIjMZykP54Ugm+rQMN1kbxqYrfXbuBGJjUeXkSelx585SEbuHHtJoVjZwUkD6KfsRPACjy71daUdqS3B1EhERuRV7lfPXV1YfAOb8cNLkjs02W+lz/Trw8svSyqOTJ4Hq1YG1a4EdO3QCGO3ASfX2qs/gqVBgSu8mBrcKcLUdqS3BkRgiInIb9iznr53oWpa1tWFMjniUlEjF6qZNA27fluaARo6Udp4OCtLbX32BkwCwaFArBFdWqnNcqvp56yTvAq63I7UlGMQQEZFbcERxNtXS6B+OZGLODyc1njNWddfYSh+Tgddvv0nbBaSnS49bt5a2C3j0UaN9NRQ4xdQN0uijvuXeaeeyXW5HakswiCEiIrdgy3L+xoQH+qJPy3AkbD1pdW0Yo4EXiqQk3aVLgdJSoEoVYM4cIDbW5HYBqn6WDZw8AEzu1dhgkFX2eHmoEQPYISfmwYMHePvttxEVFQVfX1/Uq1cPs2fPRmlpqbqNEAKzZs1CREQEfH190aVLFxw/flzjPIWFhRg3bhxCQkLg7++Pfv364cqVK7buLhERuYHM3ALcvFtoML/D1iytuhse6It29YPV7fQGXqWluPP5l0CTJsDixUBpKQqeHwCcOgWMGycrgFEZ2KY2JvduDIUCKAUwd9spWbkttqgq7ApsPhIzd+5cfPrpp1i7di2aNWuGgwcPYvjw4QgMDMSbb74JAJg3bx7mz5+PNWvWoFGjRpgzZw66d++O06dPIyAgAAAQFxeH//73v1i/fj2Cg4MxceJE9O3bF4cOHYKnGX/BRERkP45Y3aKzAufvJcP2vvFaW3UX0B3xqHfzCt5LXoZGF/8AAJyvVhPvdB+NfVEPI/FKMQaGm3f+zNwCzP3xlHoJtTlTbLb4fM5m8zoxffv2RWhoKFavXq0+9txzz8HPzw9ffvklhBCIiIhAXFwcpkyZAkAadQkNDcXcuXMxcuRI5Obmonr16vjyyy8xcOBAAMC1a9cQGRmJrVu3omfPnib7wToxRET2Zc8kWxV9tVs8ACwa0gqt6wS5xY13Q/olvLvhEEalbcDIXzdCWfIAolIlzG/zPJY/+hyKvLwBWFa/Je1cNoasPKBzfN2Ix9CufrBGkAlA759d7Ro6tU5Mx44d8emnn+LMmTNo1KgR/vjjD6SmpuLjjz8GAGRkZCArKws9evRQv0apVKJz585IS0vDyJEjcejQIRQXF2u0iYiIQPPmzZGWlqY3iCksLERhYaH6cV5enq0/GhER/c1ROyDrm44pBVDNX+lyN19DBt44hue+nQCvixekA71747e3ZmPRT39ptLMkv8dYbov2CBYgrV4q+2d7BZ+OYvOcmClTpmDw4MFo0qQJvL290apVK8TFxWHw4MEAgKysLABAqNYum6GhoernsrKy4OPjgyCtZWVl22hLTExEYGCg+icyMtLWH42IiP7mqB2Q9dVucZsE1MuXgeeeA/r0kQKYmjWBb78FfvgBEa2b2eRzGcptAaBTQ0b111X2zzq7Y7sZmwcxGzZswH/+8x98/fXX+O2337B27Vp8+OGHWLt2rUY7hULzb08IoXNMm7E28fHxyM3NVf9cvnzZug9CREQGOSq4sGUCqr2K5OkoLpZ2mW7aFNi0SUrUnThRKl733HOAQmHx59L3GQa2qY3UqV2xbsRjSJ3aFQPb1NYbZBpij+DTUWw+nfTWW29h6tSpGDRoEACgRYsWuHjxIhITEzF06FCEhYUBkEZbwsP/yWC6fv26enQmLCwMRUVFyMnJ0RiNuX79Otq3b6/3fZVKJZRKpa0/DhER6eHIHZBtkYDqiPwdAMDevcDo0cDRo9Lj9u2lmi8tW+o0NfdzGfsMcpZQG+I2I1t62Hwk5t69e/Dw0Dytp6eneol1VFQUwsLCkJycrH6+qKgIu3btUgcoMTEx8Pb21miTmZmJY8eOGQxiiIjIsfSNANiL9tJlcxjK37FmREZnRCQ7G3jlFaBjRymACQ4GVq8G9uzRG8CoyP1c+j5D/Maj+ONyjsHzlh3pUa3q0v6zuy6tVrH5SMxTTz2F999/H7Vr10azZs1w+PBhzJ8/H6+88goAaRopLi4OCQkJaNiwIRo2bIiEhAT4+flhyJAhAIDAwEC8+uqrmDhxIoKDg1GtWjVMmjQJLVq0wJNPPmnrLhMRkYW0RwBckS2K5JVd5bP7zA11QOGJUqz3PIE2n84Dbt2SGr/2GpCUJAUydvwMpQD6L01DkoFRJe2RHgB6/+zqf3/G2DyIWbRoEd555x3Exsbi+vXriIiIwMiRIzFjxgx1m8mTJ6OgoACxsbHIyclB27ZtsX37dnWNGABYsGABvLy8MGDAABQUFKBbt25Ys2YNa8QQEbkId9kB2drqtIZW+TS9fh5zflqKmGunpIMtW0pTR3aYMTA0PSRMrArTDjIN/dld2bxOjKtgnRgiIvtxWI6JjWxIv6STvyOnv/rq1PgX3sP41K8w7NB/4SVKcdfHF9kT41F3djzgZb/dfDakX0L8xqMo1fOcqi5MeeDUOjFERFS+OapGjC1ZmhysMY0jBHqf3osZv6xE+N2bAIAfGndAQrfX8e2UF+wawADSZ2gSFoD+S9MgLBxVKm8YxBARkVkctRGjrVmSv6Oaxom8dQ2zkz9F54zfAAAXq4ZhRvfRSK3/iDox1hHTa9GRQUhy0Kowd8AghoiIzFJedkCWI1ypwHe3UtBo9SIoS4pR6OmFs8PHIPi9GRiVL5D096iO3Om1zNwCHLxwCwqFAjEWbptQHvY8shUGMUREZBZH1ohxquRkYMwYtDh7FgBwu0NnFC38BM1jpCXTqkpncqfXNqRfwtSNR9XVchUAkp6zLJfIHVaFOQKDGCKiCsjaqY9yPRpw7RowYQKwYYP0ODwcWLAAVQcM+KfAShlyptcycws0AhhAWuEUv+moS+cSuToGMUREFYytVhaVu9GABw+AJUuAd94B7twBPDyAceOA2bMBI6tk5EyvZWTnQ99S4FIBi3OJ3GWJuz0xiCEiqkDcbWWROTdqVVt/H0/kF5WYfI3GuU/+IW0X8Pvv0pNt20o1X1q1MtlHOdNrUSH+UAA6gYyHAhblErnbEnd7YRBDRFSBuNPKInNu1GXbqqhe06lRdZ1ASNU+4N4dTNm9FoP/+AkKIYCqVaVquyNGSCMxeugLrExNr4UH+iLpuRY6U0qvdYwy+7q4WyBqTwxiiIjclCXTCe6yssicG7V2W5VSAUzdeBSKvz9v2aAmfuMRPHM0BfE7P0PIvVwAwL3BL8Lv44+AGjUM9sucTRi1qQKdQxdysO/8Taz79RJW7MnAqtQMs0ZS3CkQtTebbwBJRET2tyH9EjokpWDIygPokJSCDemXZL1Oe2NAV1lZpL2horEbtTZ9bVUEoBMInf5lP9Z9NRUfbV2AkHu5OBNcGwOGJOGP9z42GsDYYiPJ8EBfxNQNwrpfL1l8HlUgWpYrBqKOwJEYIiI3Y+10gqutLNI3utGpUXXZI0aG9hXS5lt0H2+mrUOnD7+Dx4MHuOetxMIOg7H6kf4QXt4mgwBbjYBYe54Ks8RdBgYxRERuxhY3U2esLNI3/WUoIEud2lX2jVr7pq7iAWkkRgiBHmf3Y+bPK1Dzzg0AwJVOPTC42WBcrlJddhBgq6k4W5zH1QJRZ2EQQ0TkZtwlr6UsQ7kkxgIyc27UZdv6+XjgXlEp6ob44eDO3+A3cQK6nfsVAJAfXgv+y5ei1lNP4f9yC8wKAmw1AmLL81TU4EWFu1gTEbkhS3dldgZ9O0F7KhRIndoVAAw+Z9UNuqgI+PBDYM4coKAApd7euDfuTVR+713Az7pgL9PM4Mfe5ylvuIs1EVE5507TCcZGW9rVD7Z9fseOHUBsLHDqFAAgt20HFH2yCNUfNV3zRQ5bjYBwJMV6DGKIiNyUu9wETU1/2Swg++svYOJE4KuvAAD3q4Ugvv1QbH6oCzw2X0OiItjgpowVvfKtu2IQQ0REdiUnB0QVkKmWWpsVUJSUAMuXA9OmAbm5gEKB/FdHoEPlJ3BbWRmA8U0Z7VH5loGRYzCIISIiu5Mz2mJRQHHwoLRdwMGD0uOYGGDZMvxRLQq3Vx7QaKpvU0Z7VL7llgCOw2J3RETkEOGBvmhXP1hvgGB2Ibnbt4GxY4FHHwUOHkRplSo4PzMJmdt3Am3ayCoIZ05BPblsURCP5GMQQ0RENqVdfVdOO9kBhRBSzkuTJtKO00LgYs+n8djLS/DE/ebo8MEubEi/JKsysb5AxwPAzfxCi4MOewRGZBink4iIyCYycwvwWWoGVqdmmJxK0Z5ymdKrid6qu/89cvWf6adTp4AxY4CUFOnJxo1xc94CdN1XqndKSM6mjGVzdVS7TI/9+rDF00DuWMPHnXEkhoiIrLYh/RLaJ6Zg5Z4Mk1Mp+qZc5m07jdFd6uuc9+sDl9Htva04MXws0LKlFMBUqiTVf/njD5xu1sboyIexKSxAytVJndoViwe3gkIB9Q7Tlk4DuereVOUVR2KIiMgqqqBEX+VUfdshGJpyCfLz0Xl913PpmJ38KSJz/5IO/OtfwKJFQL16AICokFKrRz7CA31RrbLtdoZ2pxo+7o5BDBERWcXYLtL6AgpDUy5t6gapj4fn3cDMX1ag15l9AIBrASG4M/cjNB71EqD4J5HFViX8bT0N5C41fNwdgxgiIrKKoV2kPRTQG1AYCjyiI4OQ1K8Jzk17H2/sXQf/4vso9vDE6keexpKOQ7B9yL80AhgVW4x8cGdo98S9k4iIyhFnFVkru5eTB4DXOkVheIcoo33Q2Ttozx6p5svx4wCA9FoPYXqPWJyrEeWwvaG4n5HzmXP/ZhBDRFROOLvImsUBwI0bwOTJwJo10uPgYOCDD5DZfwAu3LrPgKKC4QaQRERuyJpRFHtVnzWH2XkgpaXA6tXAlClATo50bMQIIDERCA5GOIDwIH+79JXbApQPDGKIiFyAtaMoxoqsueRN+vffpamj/fulx9HRwKefAo89Zve3dvaIFdkO68QQETmZqVL1cirgyimzX/b95FTUNdZfi1+flwfExUl7HO3fD1SuDCxYIO195IAA5o/LOZjKbQHKDY7EEBE5mbFRlN1nbsgaNZC7usbaUQiLXy8E8M03wPjxwLVr0rEXXpACmJo1Zb+/NTakX8LUjbr1bKwdseLUlPMwiCEicjJDNUr8fDzMynMxtdTY2rwZi1//55/SdgHbt0uPGzQAFi8GevY0+Z76+mBJwGCsIJ819WA4NeVcnE4iInIyQ6Xq84tKzN5M0FiZfWs3JzT79ffvA7NmAc2bSwGMUik9PnrUogBmQ/oldEhKwZCVB9AhKQUb0i/Jfq2hgnyGatkApqfN7LljtbVTfhUFR2KIiFyAvlGUzNwCm1aRtbYqrVmv375dGn3580/pcY8e0uhLw4YW9d3aUSR9ffcAsDm2PaIjg3TayxlhsVcyNUd35ONIDBGRi9AeRbHFZoJlf6M393zaowGyXn/1KjBggDTS8uefQHg4sGEDsG2bxQEMYP0okr6+Jz7XQm8AI3eExZxkarnsObpTHnEkhojIhVlTUt/Qb/RyzmfotQZf/+CBNNLyzjvA3buAhwfwxhvImjAV54s8EZV336rRCWN5Q2nnsmXlyMj97HJHWOyxVYEtR3cqQsIxgxgiIhdnyWaCpqZfTG0HYOq1Gq/ft0+q+fLHH9Ljxx4Dli3DhuJqiF960CbTIvoChv6tIvDM0jSzzi/nWpozbWbrHatttRFlRZmS4nQSEZEDODpR05rpF9mvvXULeP11oH17KYAJCgJWrAD27sUfwXX01mP543IO0s5lq/9rzvUY2KY2Uqd2xboRj2FTbDtsPnzVLtMu5k67GUumtvd761ORpqQ4EkNEZGfO+K3Ymt/oTb62tBRYu1ba7yg7Wzo2bBgwbx5QvbrReiz9l6ah7I595l4P1UhKwg8n7Fqh2NYjLI58b7er3mwFjsQQEdmRs34rtuY3eu3XegB4tWNd6cljx4DOnYFXXpECmGbNgN27gc8/B6pXN1qPBQC0txy25Hpk5hZg5Z4MneMeCliVVKvNliMsjnxveyQcuyqOxBAR2ZEzfyu25jd61Ws/T72AVann8Z9fTiBk9jt47dB38CgpAfz9pZovb74JeHurX2eoHosCMBjYmHs9MrLz9Z7rtY71yt1IgyXskXDsqhjEEBHZka0SNS1lSVJwWav2nEP3M/sw4+eVqHnnBgDgft9+qLR0MRAZqdPeUD2WlUNjMOKLQ3oDHHOvh6H3GK4aLSKnToc5EqeTiIjsyBaJms5y7fAJrPx2NpZvTkDNOzdwOTAUw5+ficMff6Y3gAH0f94pvZvA18cLU3o3UR9XseR6GKr54g7X1JGcOR3mKAohtGcoy4e8vDwEBgYiNzcXVapUcXZ3iKiCy8wt0PtbsUvW8igsBD78EGLOHCju30eRhxeWt30OS9q9gGIfX6RO7Wqyr6rPe+Tqbcz98ZQ6qXlKryZoWasq/Hw8cK+o1KpRAkPXlNybOfdvTicRETmAvmkdl6zlkZICxMYCp09DAeCvmHZ4sfVQnK1Wy+zkYAD496r9GknN87adlhUEyWHtVBm5PwYxREROYO1eQDaXlQVMnAh8/bX0ODQUmD8foYMH44u8++oRDwCyK+RWpKW+5BwMYoiowrJmKsfaaSCXucGXlACffgpMnw7k5gIKhbRx43vvAVWrAvhnVOWz1AysTs2QPXLk7KRmKv8YxBCRS3FUjog1Uzm2mAZyiRt8ejqKXh8Jn98PS48feUQKaGJiNJrpK14nZ+SoIi31JedgEENELsNROSLWTOXYahrIqTf427eBadMgPv0UPkIgT+mPDzu/jObvvoUBMVEaTY0Vr5MzclRRlvqSczCIISKX4MgcEWumcmwxDaQaberUqDpSp3Z13A1eCOCrr6Tcl+vXoQCwqVlXJHR9Bdn+QfD87iQa16yK/KIS9UiYoeJ1gPyRIybgkr3YpU7M1atX8eKLLyI4OBh+fn54+OGHcejQIfXzQgjMmjULERER8PX1RZcuXXD8+HGNcxQWFmLcuHEICQmBv78/+vXrhytXrtiju0TkAqzZsNBc1pRlt7ak+4b0S+iQlIIhKw+gQ1IKdp+54ZhaHidPAk88Abz0EnD9Ou7Vb4jBgxIwoe9EZPsHAfhnb6MhKw+gfWIKEn44AX8fT53PC0gjZbYaOXL05phUftg8iMnJyUGHDh3g7e2NH3/8ESdOnMBHH32Eqn8niAHAvHnzMH/+fCxevBjp6ekICwtD9+7dcefOHXWbuLg4bN68GevXr0dqairu3r2Lvn37oqSkxNZdJiIX4Mj9Xmy5r5A5r3XKPkr37gHTpgHR0cDOnYCvL5CQgNx96ThQt6VOc1XlMAFgxZ4MPLM0Dc+0qqmxj9LrnaKwd+oTNpnq0w7qNqRfsvqcVHHYvNjd1KlTsXfvXuzZs0fv80IIREREIC4uDlOmTAEgjbqEhoZi7ty5GDlyJHJzc1G9enV8+eWXGDhwIADg2rVriIyMxNatW9GzZ0+T/WCxOyL3syH9kk6OiD3rplhTLM2S16ady8aQlQd0jq8b8Rja1Q826/1l+d//gHHjgAsXpMd9+wKffAJESXkvZa+3B4BSA6fxVCiwKbad1cXptGXmFqBDUopOcrOt6siQe3Jqsbvvv/8ePXv2xAsvvIBdu3ahZs2aiI2NxYgRIwAAGRkZyMrKQo8ePdSvUSqV6Ny5M9LS0jBy5EgcOnQIxcXFGm0iIiLQvHlzpKWl6Q1iCgsLUVhYqH6cl5dn649GRHbm6CRQa3I1LHmtw1YkXboEvPEG8N130uPISCl4efppaQn138pebz8fDzyzNE1v/kuJELhXVGrzQMtllpmT27L5dNL58+exbNkyNGzYED/99BNGjRqFN954A1988QUAICsrCwAQGhqq8brQ0FD1c1lZWfDx8UFQUJDBNtoSExMRGBio/ok0sK8HEbm28rzfizlTURbliRQXA/PmAU2bSgGMlxcwebKUD9O/v0YAU7ZP7eoHIzoyCInPttB7U7DXtJ4jpxCpfLL5SExpaSkeeeQRJCQkAABatWqF48ePY9myZXj55ZfV7RRa/5iEEDrHtBlrEx8fjwkTJqgf5+XlMZAhqkAcuQeRNe8lZ7TJoqXmu3cDo0cDJ05Ijzt1ApYuBZo1k91vVd8+T72AVannUSrsu2GlPZeZu+SeVGRzNg9iwsPD8dBDD2kca9q0KTZu3AgACAsLAyCNtoSHh6vbXL9+XT06ExYWhqKiIuTk5GiMxly/fh3t27fX+75KpRJKpdKmn4WI3IMj9yAy570M3UiNTUWZvdT8xg3grbeAtWulxyEhwIcfAi+/rDHyIrff4YG+mNanKYZ3rOuQaT17TCG65J5UZBc2n07q0KEDTp8+rXHszJkzqFOnDgAgKioKYWFhSE5OVj9fVFSEXbt2qQOUmJgYeHt7a7TJzMzEsWPHDAYxRFQxOXLFjznvZemqG9lLzUtLgeXLgcaNpQBGoQBGjgROnwaGDtUIYCy5Ro6c1rPlezllBRg5jc2DmPHjx2P//v1ISEjAn3/+ia+//horVqzAmDFjAEjTSHFxcUhISMDmzZtx7NgxDBs2DH5+fhgyZAgAIDAwEK+++iomTpyIX375BYcPH8aLL76IFi1a4Mknn7R1l4nIjdmjvoyhfBS572XNjVRWnsjhw0C7dsCoUUBODvDww0BamrRlQLVqOud0ZA0eZ6tIn5XsMJ3Upk0bbN68GfHx8Zg9ezaioqLw8ccf49///re6zeTJk1FQUIDY2Fjk5OSgbdu22L59OwICAtRtFixYAC8vLwwYMAAFBQXo1q0b1qxZA09PT1t3mYjcmK1X/BibipD7XtasujGaJ5KXB7zzDrB4sTQSExAAzJkDxMZKSbwGuMQ+TQ5SkT4r2aFOjKtgnRiiisNW9WXk1C2R8162qH+iUYemSiXg//4PGD8eyMwEABQ8+zx8Fy0EIiLU7Y0lsjq6Bo8zVaTPWh6Zc/9mEENE5YI1hetU5Bajk/NeNruRnjkDjB0L/J0jmBEUgXe6j0ZavVbqUSK5iay2uEbuoiJ91vKGQQwYxBCRcfpGLmxdQdaqG2lBAZCYCMydCxQVQSiV+LjN8/i07XMo9PJR921TbDudInWsekvuzKkVe4mIXJ2hkQtb1y2xuCLwtm3S6Mu5c9Ljnj1x+K3ZWJh8Q6NZiRBIv5DDqrdUYTGIIaIKxVQdFkdvfaDh6lUgLg749lvpcc2awMcfA889h/C8+/D4WXeUqE3dIJ1EVg8AN/MLkZlbwECGyjWbL7EmInIWOaX65SzBdfjWBw8eAPPnA02aSAGMpycwYYK0XcDzzwMKhcEtC1TbBaiOKyDtQD3268MO3RXaom0SiKzEkRgiKhfkJrc6ewmuTi5OWpq0XcCRI1KDdu2AZcuA6Gid1xoaJVIdP3QhB2+sPyy/2q+NsEIuOQtHYojI5hz9W7k5xeXM2YTR1spW8e0zcwvOPz0I6NBBCmCqVQNWrgRSU/UGMMA/AZC+aa7wQF9Uq+zj8EJvrJBLzsSRGCKyKWf8Vm5ucTlH571k5hbg4IVbiN90FKK0FC8c/RnxO9egWkGe1OCVV6RVSCEhBs8h57o6Y5TJmsJ+RNZiEENENmP25oU2YsnN2+KVQ2YqG3w0vnEBc35aijZXpZ2mT1avi5LFS9B8wL+MnkPudbXnrtCGOHt6jio2BjFEZDPO+q3cGTdvOVTBR6XCAsSlfo1XDn4HL1GKfO9KWNBxCL585Gns7NnV5HnMua6OHmVy1WtPFQODGCKyGUf/Vl42SdapS6MNyLhxFz1O7cWMX1Yi4k42AODHRu0xu9sIXA+sIftmr++6GltG7ahRJhVXvPZUMbBiLxHZlKP2rXH5FTHnz+P+qNGolLwdAHCxahhmPjkSu+u3waIhrdC6TpBZN/uy11W1ybWAi352Iitw2wEwiCFyJnvvW2Pr7QFsqrAQmDcPSEgA7t9HibcPlrZ5FosfewEPfCpZFdRl5hboLKMGXOizE9kAtx0gIqey93SGy66I+eUXIDZW2rQRALp1g+eSJXg+rDYesUFQJy2jdtHPTuQEDGKIyO2Yyr3Rt7mjirHnLJaZCUycCKxbJz0OC5Mq8A4aJFXbBWz2XlwNRPQPFrsjIrdjrGBd2YJy7RNTsHzXOfXryj5nk5L8JSXAokXSdgHr1gEeHsC4ccCpU8DgwYBCYfocZnJmsT4iV8OcGCJyW9q5N/pyZQAg/l9N0C86wrZ5NL/+CowaBRw+LD1u00baLiAmxvIPZAZ75x0ROQtzYoioXFFVvFUoFIgps6pHO/dGX64MAMz98RRqVvU1WpJf9hRTTg4wbRqwfDkgBFC1KpCYCIwYIW3c6CCOXkZN5IoYxBCRS9uQfglTNx6FKv5QAEh6zvDmjqpdnMsqFdJBfbkkR67exr9X7Te9VFsI4D//ASZNAq5fl4699BLwwQdAaKj1H5SIzMacGCJyWZm5BRoBDCAFKPGbjhrc3HFq7yY6xz0VCsTUDdLJJZncqzHm/njK9OaFJ04AXbsCL78sBTBNmwI7dwJffOHSAYzcjTgdvWEnka1wJIaIXFZGdr7OqAogBRuGlhSP7FwfUEAdnJRNfNWuLGtyqXZ+PvDee8BHHwEPHgC+vsDMmcD48YCPj30+tI3ILQbo8kUDiYxgEENELsvQ9JCHAkaXFI/sVB/9oiP0Jr5q55LoK+dfN8QP+P574I03gIsXpSf69QM++QSoU8f6D2ZncjeM1NcufuNRNAkLQHRkkBN6TmQeTicRkcsKD/RF0nMtUHahsuLv0QJTSa3hgb5oVz/YaDvVcuWy54/IvY7Sfk8DTz8tBTC1awPffSf9uEEAAxgvBmiqXSmA/kvTrF9+TuQAHIkhIpemmgI6dCEHCgXM3nPIlE6NqkOhALweFOO19C14Y+96+D4ohPDygmLSJODttwF/f5u9nz1oF/CTWxBPXztAymHWN3JD5GoYxBCRywsP9EXfaPvcTDOy89Hm4lG8t30ZGt2URh/2RzZHpRXL8XCv9nZ5T3OYqjBsKKcl8dkWOhtx6tvtOvHZFojfeBSlWuflVgbkDhjEEJFTmbsNgE23Dbh+HQ9PH48NG74GAGT7BeL9rq/i++ZPILVdK+vOLYOlAUrZ1xvKfdFOYjZ0rQa2qY0mYQHovzQNwsTIDZGrYRBDRE5j7soYm62kKSkBVq4E4uPhd/s2hEKBrx/ujbmdXka+b4BVZfzlBlnWBCiq85paXVU2idlYv6Ijg5AkY+SGyNUwiCEip5C7gsbS9gb99hswerS0bQAAtG4NxbJleKJxC9Szsoy/3CDLFgEKIH8zSDn9kjtyQ+RKuDqJiOzGWBG1QxdzZK2gUZG74sag3FxpyXSbNlIAU6WKtGT611+BRx/Vu5rJnCJwhgITfa+V81lUAUpZ2gGKnM0gzemXnBVdRK6EIzFEZBfGfvtXbSWgzVgehtxRBx1CAOvXAxMmAFlZ0rHBg6UCduHhFvVfHzkjJ+Z8FlWAYmqKx9QIijn9InI3DGKIyCRLkm8NTZcA0rYB+grYGcvDkHtT13D6NDBmDPDLL9LjRo2AJUuAJ5+0uP+G3k9fYOIBwM9Hd8DbVgFK2fOZ0y8m7VJ5wSCGiIxavvsckn48BWFGMq2x3/4FhN6dpj8Z1Ap9oyOMnld23kZBAZCQAMybBxQVAZUqAdOnA2+9BSiVRt/DVP/lBlmAVDjumaVpVuWgWLtbtUXBH5GbYBBDRAYt33UOiT+eUj+Wm0xr6rd/fc/F1JVX5t7kTf3HH4GxY4Hz56XHvXsDixcD9erJOr+h/qu3IzBC33JlY9fM2gBFLibtUnnFxF6iCkhOwmpmbgGSygQwKnKSaY0lnMpJRrXIlSvA888D//qXFMDUrAl8+y3www9mBTBl+182r1YA2H3mht72Za9nflGJRr0VwMwEZDth0i6VRxyJIapg5CasGtpB2tTmiyrGfvu36chAcbG0ymjmTGnXaU9PIC5OehwQYPFpVdsRqAISAf0jKtrXc0qvJsxBIXIQjsQQVSDmLLfVt8QXAKb0biI76DD227+pkQFZy5v37gViYoBJk6QApkMH4PBh4MMPNQIYc5ZKq8hZBq3ves7bdhpTejex/UgTEengSAxRBWJOwqp2QqgHpABmZKf6du+nydGi7GxgyhTgs8+kx8HBUhLvsGGAh4d55zJAzqoeQ9ezZc2qSJ3alTkoRHbGIIaoAjF3ua0zEkKNLm8OUAKffw5MngzcuiU1eO01IClJCmTMOZeJzyJnVY+x6+mopF2iioxBDFEFEh7oiym9m2Duj6dQKuRNdTj6ZmxodON6ajrCE+KBtDTpYMuWwLJlQHvDO01bW+jNVBDH5ctEzsUghqgC2ZB+SR3AKACM6lwPkdX8kJlb4DI3Xu3RDf/Ce5iw92u0/PC/0saNlSsDs2cD48YBXsb/F2aLQm+mgjguXyZyHgYxRBWE9tSKALBk5zks2XnOuh2hbUw9urHxKHqcSsWMlJUIv3NTevL554EFC4BatWSda/eZGxrLnRUmqgJb02cGL0SOxyCGqILQN7Wiop0rYu42A9bSfr+B1Yrx9KGFqPRzstSgXj1pu4BevUy+tuxx7e0NFALqrQ+IyP0xiCGqIPRNrZSlyhXZfeaGRat5LFV29VClkmJ8k7cHLdYuQaXCQsDHB5g6Vfrx1Q2mjK080he0lQLc+JCoHGGdGKIKQrtSrjZPhQJ+Ph6y68jYQtkpro4Zh7F19Ri0WDEfKCyUNmk8ehR49129AYypmjf66tzYu+icJfVoiMhyHIkhqiAycwsQWc0Pm2Lb4V5RKY5cvY15P57WWFWTX1Ri1WoeOX0oO/WTkZ2PkLybeCdlFZ46tQcA8Fflash9fy4ajXtVSmIxwNTKI0evHLK0Ho0+jp7OI3JXDGKIKgB9N9iRneqjX3SExqqazNwCu5XM1+5DUr+m6LlrE35ZNQMBRQUoUXhgbeu+WNjpJWwb2sdoAAPIW3nkqJVD1tSj0WbLYIiovON0ElE5Z2zaRbv0vz02Z8zMLcB//7iq0YeWV0/joWd6IDD+LQQUFeBwRGP0G7oA73cfiWmDH5X1fnL76oiND+VsUSCHOdtCEBFHYojKPXMLvtly9KLsqAIAVLl/F1N2rcHg33+CBwQeBFaF17y5CHvh33j71n2z389VarTYoh4NYH1xPqKKhkEMUTlnyQ3WFnVPNEYVhMBzx1IQv/MzhNzLBQBsbN4NHTevRmiDOggHEB7kb9H7uEKNFlvl39gqGCKqKBjEELkJS5M9bZngKqcPqja38otQKoCGNy5izvalaHvlOADgTHBtvN0zFt1GPo/QBnWsfj9XYYtRIW5jQGQeBjFEbsDaZE9b3GDl9KFsG7+i+5iatg6vpm+Bd2kJ7nkrsbDDYKx+pD8eeHphfM2qdv3MjqIdaFkbcLjKFBmRO7B7Ym9iYiIUCgXi4uLUx4QQmDVrFiIiIuDr64suXbrg+PHjGq8rLCzEuHHjEBISAn9/f/Tr1w9Xrlyxd3eJXI6tkj2tSXCV04eybbqf3Y/tq0dj1IGN8C4twfaGj6H7q8uwvO3zeODpZXKKxF0SXDekX0KHpBQMWXkAHZJSsCH9kk3O64hkZKLywK5BTHp6OlasWIGWLVtqHJ83bx7mz5+PxYsXIz09HWFhYejevTvu3LmjbhMXF4fNmzdj/fr1SE1Nxd27d9G3b1+UlJTYs8tELsdWK1/s3YeM7HxE3P4LKzfOxspNc1Ar7wYuB4bi14Wf4+CCz5BZtQYAKcdjcq/GyMjO1wlKVMXiDl3McfpnNsVdAi2i8sxu00l3797Fv//9b6xcuRJz5sxRHxdC4OOPP8b06dPx7LPPAgDWrl2L0NBQfP311xg5ciRyc3OxevVqfPnll3jyyScBAP/5z38QGRmJn3/+GT179rRXt4lcjiske5rsQ1ERmn+xFMmrEuD7oBBFHl5Y0fZZLGs/ED8P7Y1pgb4Y3rEuLmTfw5Grt9U7aZedJio7faSA9FM2jnG1BFeuJCJyPruNxIwZMwZ9+vRRByEqGRkZyMrKQo8ePdTHlEolOnfujLS0NADAoUOHUFxcrNEmIiICzZs3V7fRVlhYiLy8PI0fovLAHrVbbNqHHTuA6GhUmT0Tvg8Ksb92C/QevggLOg/FjIGPaNSgqRvipw5ggH9GL/64nKOzwzYA9bYBrpjg6oxtDYhIk11GYtavX4/ffvsN6enpOs9lZWUBAEJDQzWOh4aG4uLFi+o2Pj4+CAoK0mmjer22xMREvPvuu7boPpFdWbLixhWSPXX6cD8PeOkl4D//kRrUqAF89BHq9H0Wc24W6O2nodGL9Au600cCwKJBrRBcWemSCa5cSUTkfDYPYi5fvow333wT27dvR6VKlQy2U2iVFBdC6BzTZqxNfHw8JkyYoH6cl5eHyMhIM3pOZH/WrLgxtvKlbGAEwG7LksMDfRFe2QdYvhyYNg3IzQUUCuS/OgLHYiejdr0IqU1V/aMRhqal2tQN0ns8pm6QSwcFrhBcElVkNg9iDh06hOvXryMmJkZ9rKSkBLt378bixYtx+vRpANJoS3h4uLrN9evX1aMzYWFhKCoqQk5OjsZozPXr19G+fXu976tUKqFUKm39cYhsxpb765SlnUsCSKMYdlmWfOgQMHo0oBpljYlB8riZGHnKA6UbTsFDccroexoavYiODHLbUQ1XKLZHVFHZPIjp1q0bjh49qnFs+PDhaNKkCaZMmYJ69eohLCwMycnJaNWqFQCgqKgIu3btwty5cwEAMTEx8Pb2RnJyMgYMGAAAyMzMxLFjxzBv3jxbd5nIIeyRCKodGJU9va2CJADA7dvA228DS5cCQgBVqgAJCcgcPBQjP9hlVmBmaPSCoxpEZC6bBzEBAQFo3ry5xjF/f38EBwerj8fFxSEhIQENGzZEw4YNkZCQAD8/PwwZMgQAEBgYiFdffRUTJ05EcHAwqlWrhkmTJqFFixY6icJE7sIeq4z0BUZlWb1aRghg3TpgwgTgr7+kY0OGAB99BISFIeNctkWBmaHRC45qEJE5nFKxd/LkySgoKEBsbCxycnLQtm1bbN++HQEBAeo2CxYsgJeXFwYMGICCggJ069YNa9asgaenpzO6TGQ1eySC6guMyrIqSDp1ChgzBkhJkR43biyNxDzxhNH35wodInIUhRDCyO9x7isvLw+BgYHIzc1FlSpVnN0dIrXM3AKbTplsSL+kDowUAKCQBlBUQZLZOTEFBcD77wPz5gHFxUClStJU0qRJgJ68s7Lvb/F7EhH9zZz7N4MYonKgbGAEwPIg6YcfgHHjgIwM6XGfPsCiRUBUlOz353QQEVnDnPs3N4AkciJb7dKsnUti9rkuXwbefBPYvFl6XKsW8MknQP/+gInSB/rev7yy567a7rRjN5GrYBBD5CQusUtzcTHykj6Af9L78Lx3D8LLC9eGj4LnzBkIq1ndsX1xcfb8+3KJ7wKRG7L7LtZEFYVq80I5GwC6xOaBqam43bQFqsyYDs9795Be6yH0evljdKjWC+0X/2qzHZntwZxrbav3s9ffl0t8F4jcFEdiqEKw91C9ub9JO3XzwBs3gClTgM8/R1UAN32rILHrK/i2eTf11JFNa8zYmDNGLT5PzbDb3xc3kiSyHIMYKvfsfdOzpBKvpUuTrQrGSkuB1auBqVOBW7cAAF9H98S8zkNx21c3ec4Vb6T2qnps6j1X7snQOe6hgE2WknOZOpHlOJ1E5ZojhuqN/SZtiCU7U29Iv4QOSSkYsvIAOiSlmDfd8/vvQIcOwOuvSwFMdDSyk3fi7d7j9AYwqj652o3UkmtdlpxpKO02Gdn50LeE87WO9WwSOLnCLuVE7oojMVSuOWKo3tLfpM0ps2/xCMSdO8CMGdJKo9JSoHJl4L33gLFjEeLlhcRA4zVmXO1Gas2ohZwROX1tOjWqrvOeHgCGd6xrmw8FbrlAZCkGMVSuOWKo3ppKvHKXJpsdjAkBfPstEBcHXLsmHRswAJg/H6hZU91M++YJWFFjxgEsvdZygkBDbVKndnXI5pQVZZk6kS0xiKFyzR6l/vWx92/SZgVjf/4JjB0L/PST9LhBA2DJEqBHD73ntrrGjINZcq3lBIHG2nCkhMg1MYihcs9RNyB7/iatLxib3KsxMrLz1c/j/n0gKUn6KSyUtgiIj5dWIlWqZLO+uEJRNnOvtZwg0FQbjpQQuR5uO0DkRlTl/Y9cvY25P55S5258FpGDLp+8K43CANKoy+LFQMOGNn1/dy7KJmePJ+4DReR83DsJDGIqKlcYJbA17c+UmVuADkkpKBVA6J1svJOyGn1P7ZEah4cDH38MvPCCrO0CzO2H6n1VPBUKpE7t6jbXWs4eT9wHisi5uHcSVUjuPEpgiL7PFFnND4qSErxy6H8Yn/ofBBQVoEThgb+GjkDEwnmAnYL28lCUTc6UEKeNiNwH68RQuVAeSrdr1ycx9JmqH/sN368djxkpKxFQVIDfIhqj39CPcWN2okYAY+vS/KqckbJcsZYMEVUcHImhcsHdRwkMjbiU/UyBBXcwZdcaNEySVh3drlQZSZ2HYUN0DwiFB55ZmqYefbLHqJR2crEHgFdtWCuFiMhcHImhcsGdRwkMjbj4+3hKn0kIPH/0Z6SsHIkhf/y9bHrYMFzZ9xs2tOoFofBQvy5+41F8uf+C3UalBrapjdSpXfH64/UABbBiT4b51YOJiGyEQQyVC+5cut3QKNK9olIsjfbBN19PxYdbP0ZwQR5u128M7N4NfP458gKCoJ2WXwrgnS3HrSrNL8eq1PNuPXVHROUDp5Oo3HDXgmT66pMEFN9Hi0/eR+Wli4AHD1Di54/8+OmoOmUS4O1t8HWG2HJUyt2n7oio/OBIDJUr4YG+aFc/2GE3U0PJs+Yk1WqMIgmB3mf2Yf9Xb6DyJwuABw+AZ56B56mTqPJ2vDqA0XmdEbYelXLnqTsiKl9YJ4bITKq6LUev5moUnLM2qfb6HyfhPf5NBO1Ilg7UrSsVrOvTx2R/Dl3IwRvrD+tsUrhoSCu0rhNk86COReGIyF5Y7A4MYso7ZxW1KxugaPNUKLApth2eWZpmXkG4wkLgww+BOXOkrQO8vYHJk4Fp0wA/+aMbjg4sWBSOiOyBxe6oXHNWUTvtVUTaSoRA+oUc8/JFUlKA2Fjg9Gnp8RNP4HrSR/izWi1EFSsQbkb/HJ0TxKJwRORsDGLIrRhajtypUXW731D1JbSW5alQoE3dIHm7TWdlAZMmAV99JT0ODQXmz8eGBh0Qv+kYSsVViwI0BhZEVJEwsZfcirGVMfamL6FVxQPA5F6NER0ZZHSpd+atuzg/ay5KGzcBvvoKQqFA/ohRwKlTyOzzDOI3H+PSZSIimTgSQ25F37Jic1bGWJNLo12x1lOhQM9mofjxeBZKBTB32ylU9fM2OK2zfe3/ED51PFpkSTtN/xHWENN7jsGJ4AZIPJunU6EX4NJlIiJjGMSQW9EXSMhdPmwsl0ZucFM2QPHzkUr9CwNTW+rz3L6N/Lem4MlVK+EBgTylP+Z1Hoqvo3ui1MMT+Pt1m2LbWRWgERFVNAxiyO1YksBqLJdm95kbZiUKqwKUtHPZxkdOhJByXiZOhP/16wCATc26IqHrK8j2D9J53b2iUosDNCKiiohBDLklcxNYDeXSHLqQY3GisNGprZMngTFjgB07AAAPGjXGyzFDkVa7pd5zqV7Xrn6wW1UddtZSdyIigIm95IbMqYarYqjKLPSU7ZebKKxvv6a5/6qP8LnvAdHRUgDj6wskJMDr6BE8Pf7f6rYKAKpCu9ojLo6uOmypDemX0CEpBUNWHuAmkETkFByJIbdiaY0Y7VwaDwCvdqyLyCBfq/JQyk5tNT64E1Ve7Alcuig92bcv8MknQFSUTlvV+d1lxEWbM5e6ExGpcCSG7M6SkRND59F349R3Xn3vObBNbaRO7YrXH68HKIAVezLwzNI0PNOqpsndr419hvDcG2g36TVUG/Q8vC5dxJUq1fH6s29jwzuL1QGMum2ZUZayf7bVNbIlY31y5lJ3IiIVjsSQXdmyuq7c3ZNNveeq1PMagdCWw9ewKbYd7hWV6h0VMXi+4mJgwQLg3XeBe/dQ7OGJVW2ewSftB6HApxJ+2XwcnRrXMDkyYYtVU7ZQ9r1MJTvrywfyAHAzvxCZuQUcjSEih2AQQ3Zj6ykHOTViTL2noUDoXlEp2tUPlv0ZnrxxGsGTxwPHjwMActu0w/MtXsTZ6nU0zmuqxostV01Zo2wgpUodUl0mfX9v2tNzir/bj/36sEO3giCiio3TSWQ3tp5y0JdIqz31Y+o9DSX4GsqB0T5ftXu5mPu/+Qju00MKYEJCgDVrcG/7zzhXo47Ga8ue19DUjLmrpuwx3aQdSAn8E8CU7ZP235tqem7x4FZQKHSDHleaGiOi8okjMWQ31lbX1cdUjRhT76mvWN7kXo2RkZ2vfl7f+URpKQb/8RMm71qLqvfvQigUULz+OpCQAFSrhnDAYI0XY9NFhvprbNWUKofGVtNMpvaE0r6GZYUH+qJaZXnTfEREtsYghuzGmuq6ps5r6Bz6ViFN7tVYo33ZQOjI1duY++Mpg1M24YG+WNZMgRpT3kKra9JO0zmNHkLQF58BbdtqvLe+AMvU9JahaxRTx/BGkrbexVtfIKVaAl4qDCc7G3s9Kw0TkSMohBAmfgdzT3l5eQgMDERubi6qVKni7O5UOGVHCgDHLyVevvsckn48BWHkRp+ZW4AOSSk6N9/UqV2lfublATNmAIsWAaWleOBfGfnvzELgxDcBL3nxf9q5bAxZeUDn+LoRj2nk4GTmFuhcow3pl3SCm06Nqhvvs4UMvZfcvzd9r2dODBFZwpz7N0diyOZsPVJgrszcAsz9O4ABDCcUG8yfuZGP8G3fA+PHA5mZ0hMDB8Jr/nwERkSY1Re5oxT6Rpf0jeyY3OrAQoam6eSe05KtIIiIrMXEXrIpc2q5WHJuObVU5CYU60vyrZ9zDa1fHwQMGiQFMA0bAtu3A+vXA2YGMIC8ZGRTry9bvdfcxGRz6s9YWynYXSoNE1H5wZEYsim5tVzMZc7ojjk5Gq92jMLq1Ax4FxdhzP5vMObXjfAsLgKUSmDaNGDyZKBSJYv7Ddh2lMKcPCNnj4gREdkbgxiyKXskeZpbb8bQFgNllb3Bdz5/CAtSV6Fa5mXpyV69gMWLgfr1Le6zvj7ZaoRCTlDEbQGIqCLgdBLZlCXTJ6amPCypN6NviwHVJoWqG3z1vGws2ZKItd/MRLXMyyiJiAC++QbYutWmAYw9thQwNXXDbQGIqCLgSAzZnDnTJ3KmPI5eydV5ndzRHe0tBqZtOoZPXmiO4b9uwfjUr1C5qAAPFB74/JF+aLlyAdpG1zXrs5rirCkdQ9sC+Pnw9xYiKj/4fzSyCzlJnnKSgDNzCzB32ymd107u3djktIi+0Yjoyyfw+OBeeCdlFSoXFeBQRBM8NexjJHUbgdp1Q+V/QBnsmeRsivaIGACUAnhmaRo2pF+y+/sTETkCR2LIaeQkARuqJtuyZlWT5y87GlG1IA9Tdq7B4CPbAQCFVapiZoeXsaHFk/Dw8LRJET5t9kpylmtgm9poEhaA/kvTTC43JyJyRwxiyGnkJAHL3fRRXwn+8EBfJPZvht/e/RhTdn6OagV50hOvvALl3Ll409sfT9uxrokrVLLNLyqBdjlLbglAROUFp5PIaeQkAZtqsyH9EjokpWDIygPqxF21o0cxcOKLmPvjQlQryEPxQ82B1FRg9WogJMTudU2srRFjC+bWlSEicifcdoCcTl/JfTltDG0bsHdsG4QtmAt8/DFQUgL4+wPvvgu88Qbg7W1236zdaFHO57MnbglARO6E2w6QRWy5M7I55NRQ0dfm89QMzZwTIfDk6TQEPTICyLomHXvuOWDBAiAy0ux+ydl/SQ5b1oixBLcEIKLyyubTSYmJiWjTpg0CAgJQo0YN9O/fH6dPn9ZoI4TArFmzEBERAV9fX3Tp0gXHjx/XaFNYWIhx48YhJCQE/v7+6NevH65cuWLr7tLfjE7LuKDM3AKs3JOhfhx5Owufffsulm9JgDLrGlCvnlTv5dtvLQtgdp1D4lbd/ZccsbLIHrglABGVRzYPYnbt2oUxY8Zg//79SE5OxoMHD9CjRw/k5+er28ybNw/z58/H4sWLkZ6ejrCwMHTv3h137txRt4mLi8PmzZuxfv16pKam4u7du+jbty9KSkps3eUKz9KlwOYWcbNl0beM7HwIAD4PijE2bT2SV8fiifMH8cDLG3jnHeDYMaB3b4vOnZlbgKQfdZd1lwiBH45kum0gQ0RU3tg9J+bGjRuoUaMGdu3ahU6dOkEIgYiICMTFxWHKlCkApFGX0NBQzJ07FyNHjkRubi6qV6+OL7/8EgMHDgQAXLt2DZGRkdi6dSt69uxp8n2ZEyNf2rlsDFl5QOf4uhGPoV39YL2vMbeIm62LvmXmFuCtUfPx7vZlqH/rKgBgb51oNPx2LWo8Em3Vef935Bre/0E3iFHhPkRERPZjzv3b7quTcnOlaqvVqlUDAGRkZCArKws9evRQt1EqlejcuTPS0tIAAIcOHUJxcbFGm4iICDRv3lzdRlthYSHy8vI0fkgeS3ZGNmfkxuZF3zIzET76Vfxn/duof+sqrvsH4c1+k3Hl/76zKoBRTakZC2AA+41UERGReewaxAghMGHCBHTs2BHNmzcHAGRlZQEAQkM1q6OGhoaqn8vKyoKPjw+CgoIMttGWmJiIwMBA9U+kBXkQ5Y3cm6i5S4HN3ZfHZvv4lJQAixYBTZoA69YBHh7If300LqQewtQvZmHgo3XMO18Z2oFWWQrdQyanltwtx4iIyB3ZdXXS2LFjceTIEaSmpuo8p1Bo3hqEEDrHtBlrEx8fjwkTJqgf5+XlVehAxtzpG3NWsJhbxM3c9mVXSQFSENTo0kmETIoDfvtNavToo8CyZfBv3RqPGuypfIYqA7/TpykeqRuEZ5am6Tw/54eTSNh6UufacgdpIiLHsNtIzLhx4/D9999jx44dqFWrlvp4WFgYAOiMqFy/fl09OhMWFoaioiLk5OQYbKNNqVSiSpUqGj/uwB5TDpZO38hdwWLuyI057cuOYLRPTEGvmd/j3AtDUe2JzlIAU7UqsGwZkJYGtG5t4krIZ2hK7V8twxEdGaSzD5GKvmvLHaSJiBzD5iMxQgiMGzcOmzdvxs6dOxEVFaXxfFRUFMLCwpCcnIxWrVoBAIqKirBr1y7MnTsXABATEwNvb28kJydjwIABAIDMzEwcO3YM8+bNs3WXncZeOxzbYs8eUzVjzK09Iqe9RvAlBPof34FpOz5D9Xu3AQCbmz2B9ptXI7RhXVmfwRyqQEu7KJyqn6r+/3AkE3N+OKnxWu1r6wrbDRARVQQ2D2LGjBmDr7/+Gt999x0CAgLUIy6BgYHw9fWFQqFAXFwcEhIS0LBhQzRs2BAJCQnw8/PDkCFD1G1fffVVTJw4EcHBwahWrRomTZqEFi1a4Mknn7R1l53CnlMO1t5E5QZXcoq4aQdDxtqrgq8G2ZcwZ/tSPHb5GADgbHAk3u4RiwO1W2CdRwAM7TVtbbE+U4FWeKAv+rQMR8LWk0avramAiIiIbMPmQcyyZcsAAF26dNE4/vnnn2PYsGEAgMmTJ6OgoACxsbHIyclB27ZtsX37dgQEBKjbL1iwAF5eXhgwYAAKCgrQrVs3rFmzBp6enrbuslPYc4dja26icoIrucGCuSNNUX4KTNm1Bq/9uhnepSUo8FJiYYfBWN3maRR7ehsNxGw1qmUq0JJ7bVkll4jI/rh3kpMY2vcndWpXnRuepSMMluzZY6pmjNxgwZzPBwD473+BceOAixcBAMkN2uLdJ0fiatUaEAJG9/wx+71swNn7IRERlVfcO8kNyP2N3poRBkv27DE2FWXOFJjskaaLF6WNGb//XnpcuzZuJX2Iyo8+gW/+HnUxFSzYc1TLEHvvh+SsfayIiNwJgxgnMjXl4IylusaCq7Rz2bKDBZN5OUVF0saMs2cD9+4BXl7ApEnA22+jmr8/2mn1yRhbJ9I6O4CwV8I3EVF5wyDGyYz9Ru+MEQbAcHBlTrBgdKRp1y4gNhY4cUJq3LkzsHQp8NBDFvXXlom0zg4gWGOGiEg+BjEuzJlLdfUFV+YGCzrBUOEdYOhQ4IsvpAbVqwMffQS8+CJgotChKbZIpHWFAMJZgSsRkTtiEOPCXHGprrnBQnigL8IDlMCKFUB8PHD7thSwjBwJJCQAWltLWMPaPBVXCCBYY4aISD4GMS6ubNDg5+OB/KISZOYWOC2QMTtf5LffgNGjgV9/lR63bi1V3H1U/2YBzsxHcYUAwhUDVyIiV8Ugxg2EB/pi95kbTk/2NCtfJDcXeOcdYMkSoLQUqFIFeP99KaAxUOvH2fkorhJAsMYMEZE8rBPjBpxRB8XiPggBbNgAjB8PqPbHGjxYyn0JD7f+/A7AGjBERM5jzv3bbhtAku24woaCsvpw5gzQo4cUtGRlAY0aAcnJwNdfGw1gZJ/fQeRuhElERM7FIMYNGNph2ZG5Gkb7UFAAzJgBtGgB/PwzUKkS8N57wJEjgMy9rlzhMxIRkXthEOMGVLkann8vQ3ZGrobBPqTtBJo3l4KWoiKgd2/g+HHg7bcBpdLg+TJzC5B2LhuZuQXGz8/RECIiMoA5MW7EHrka5q4GUvWhXuEthM6IBzZulJ6oVQtYuBB45hmTNV+MJfAyH4WIqGLj3knllK3367FkNVC4nxfCt6wBZs4E8vOllUZxccCsWUDlyibf01RBOXvvSUREROUHp5NchPb0iiPeT18wYfT99+4FYmKkPY7y84EOHYDDh4EPP5QVwACulcBLRETujSMxLsAZ9VHMqk6bnQ1MnQqsXi09Dg4G5s0Dhg0DPMyLg80pKOfsjRiJiMi1MYhxMkMjIk3CApBfVGL2DVzujV9WMFFaCnz+OTBlCnDzpnTstdeApCQpkLGA3IJyzi58R0REro9BjJMZGhHpvzQNwswbuDk3fpPBxJEjUnXdtDTpccuW0nYB7dsbfH+5AZSpirSusBEjERG5PgYxTqZvRASQCt8C8m/gcm782kGG3mDizh0pSXfhQqCkRMp1mT0bGDcO8DL8dTF35MRYAq8rbMRIRESuj4m9TqZdH0XfX0jZxFdDCcCmEmY3pF9Ch6QUDFl5AB2SUrAh/ZL6/dvVD0Z4lUrAt98CTZsC8+dLAczzzwMnT0pbCBgJYCxKEjaChe+IiEgOjsS4AO2dqp9ZmqY3V8XYaIexHBeTozTnzgFjxwLbtkkN6tcHFi8GevWS1X9bjJxojxK5wkaMRETk2hjEWMlWK2jKTq/ou4EDMFlfxdCNP+1ctt4g4+LVHIQv/ABISAAKCwEfH2kV0tSpgK/8z2LOiiN9DAVn3MmZiIiMYRBjBXutoNF3AzcUiJQd7TB049cXZDx+8Xc80i8OOPendKB7d2DJEqBhQ53+mArUrBk5kVP8joiISB8GMRay9woa7Ru43NEOfTf+skFGcF423tmxGk+d3P33k+HAggXAgAF6twuQG6hZOnLCJF4iIrIUE3st5OjKs5ZukKhKBO5ULwi/VT2JtLVjpADGwwN4803g1Clg4EC9AYy5CbuqJGEAsqsPM4mXiIgsxZEYC1mbB2IJY6Md+qZ8VKMoLa+expztSxH+1zkAQNEjbXDynSTU6NwO4VUMB0GWjJJYstSaSbxERGQJBjEWMnXztVfJfH3TRfoCh06NqiPx6314b+caDP79J3hA4HalyjgyZiqGe7VESVoBPPalGA0yzN0i4OCFWxZNsTGJl4iILKEQQgjTzdyPOVt5WyMzt0Dn5msoqLBHUJOZW4AOSSkagYaHEFhaegyPLE1CyL1cAMC3zbshsctw3KpcFUIrKEmd2tXoyIp2oKYd9JT9vPqsG/GYepqJiIjIGHPu3xyJsZL2yIi+PJKpG49C8feIhq33AdKe8ml44yLmJC9D28vHAABngmvj7Z6x+DWyOTwAaIespqaHzN0iQBvzW4iIyF4YxNiYvjwSAfO3EZBLNeWjLLyPN9LW47X0zfAuLcE9byUWdhiM1Y/0xwNPL3gqFJjcqzHmbjtldh6PuVsElD0381uIiMheGMTYmKG9kMqy5RLi8EBfrA3ORL33pqFm3g0AwE8NH8Psbq/jamANAMA7fZriXy3DER7oi6p+3jZNotX3eT0ALBrSCq3rBDGAISIiu2EQY2PaCb8e+Hskpkwbm02xXLgAvPEGHv/vfwEA9yIi8Ub74fi5/qMa76UKYIB/pocOXcgBFEBMnSCrumAowblPywirzktERGQKgxg70M4j2X3mhm2XEBcVAR99BLz3HlBQAHh7A2+9Bb/p09H9eDZ2mHiv3Wdu2LTSMFcXERGRM3B1koPoW8VkkZ07gdhYaXdpAOjSBVi6VNp9WsZ76VvNZGqFkr3Yaxk6ERG5L65OckFW7wP011/ApEnAf/4jPa5RA5g/HxgyRKfarr73UgUMt/KLXKLMv732nSIiooqDQYyrKykBVqwApk0Dbt+WApbRo4H33weqVpV1irIBgwLSj11ydGSy975TRERUMXDvJAuo9iMytTeQ3HYGHToEtGsnTR/dvg3ExAAHDki7TcsMYLQDBlXwotqvyBnLoB297xQREZVPHIkxk9xpEGumS7IuZUG8/TbCvvocitJSoEoVICEBGDUK8PQ0q7+G6tYsGtQKwZWVTknEdca+U0REVP5wJMYMcnd1Nnf3ZzUhsO+9T+D5UFOEf7kaitJSXOz5NHD6NDBmjE4AI2ekx9Au0TF1g9CufrBTpm8s3ZGbiIioLI7EmEHurs6W7P6M06dx59WRaLd3FwDgXLVaeLvHaPxa92Gk+gYiXKv58t3nkPTjKYi/81xGPB6F4R2jdM5vzS7R9lw9xGXZRERkLQYxZpA7DWLWdElBAfD++yiZOw8BD4px38sHn7QfhFVtnkGRlzegJ/hZvuscEn88pX4sAKzYk4FVqRl6p60sCRgcsXrI6hVbRERUoXE6yQxyp0FkT5ds3Qo0awa8/z48HxTjl/pt8OSrS7G03QApgIFu8JOZW4CkMgFMWcamrcIDfWVPH1k8HUZERORAHIkxk9xRDaPtLl8G3nwT2LwZAFAYFoE32g3DTw3badR88VBAJ/jJyM6H1kyVBlvUfLFoOoyIiMjBGMRYQO40iE674mJg4UJg1iwgPx/w8gLGj0fOm28hefGvGsVbPABsjm2P6EjNvY1MbTBpi1U+XD1ERETugNNJjpKaCrRuDbz1lhTAPP44cPgwMG8ewmpW15l+SnyuhU4AA+hOVamK16leZ4tVPvqmwyb3aoyM7HxOKRERkcvg3kk2pHc1z40buDd+Ivy++lJ6HBICfPABMHSoznYB5uyvVLYtALus8lG9x5GrtzH3x1PcIoCIiOzOnPs3gxgb0VnN078ZBh5JRuGkyVDm3QYArIvuiUofzMUz3aPt3h9bcaUNI4mIqPzjBpAOpr2ap/Ff59HwuUnA1VNQAjhRIwrTe4zB4ZpN4JlyFY892shtAgAm+RIRkatiEGMDqhu9f+E9jE/9CsMO/RdeohRFvv5IajcEa2P6osRDqrZbIgQOXchBtcr2KSJna0zyJSIiV8Ugxgaigv3Q53Qq3vl5BcLu3gIA/NDkcdT9YhnWbLqgEQAoALyx/rB6R2lDlXZdhTUVf4mIiOyJOTHW+vNPYOxY4KefAAAZQeGY1SMW/5r4Mga2qY0N6ZfUAYAHpFXU2hfcHZJlzUk6JiIishQTe+GAIOb+fWDuXCAxESgsBJRK3Bk/CcdfGo06Natp3OhVAcDN/EKM/fqw3tMxWZaIiMi8+7fL14lZunQpoqKiUKlSJcTExGDPnj3O7hKQnAy0aCEVrSssBHr0AI4eRUDiHDz2UE292xC0qx+MmDpBOjtKq6iSZYmIiEgelw5iNmzYgLi4OEyfPh2HDx/G448/jt69e+PSpUvO69TSpVLQ8uefQEQE8H//B2zbBjRsaPKlqvwSfRedybJERETmcenppLZt26J169ZYtmyZ+ljTpk3Rv39/JCYmGn2t3aaT/voLaN4cePFF4N13AQvOnZlbgM9TL2BV6nmUin8q7bpyTgwREZEjlIs6MUVFRTh06BCmTp2qcbxHjx5IS0vTaV9YWIjCwkL147y8PPt0LDQUOHfOouBFJTzQF9P6NMXwjnVdIllWb6VhIiIiF+eyQUx2djZKSkoQGhqqcTw0NBRZWVk67RMTE/Huu+86pnM2GtmRu5GkPelUGnbxVVJEREQqLp0TAwAKrf2FhBA6xwAgPj4eubm56p/Lly87qosaMnMLkHYu2y02StSuNFwqgGmbjrlF34mIiFx2JCYkJASenp46oy7Xr1/XGZ0BAKVSCaVS6aju6eVuoxrcUoCIiNyZy47E+Pj4ICYmBsnJyRrHk5OT0b59eyf1yjB3HNVQbSlQFldJERGRu3DZIAYAJkyYgFWrVuGzzz7DyZMnMX78eFy6dAmjRo1ydtd0GBvVcFWqJd+ef0/POWJLAXeabiMiItfmstNJADBw4EDcvHkTs2fPRmZmJpo3b46tW7eiTp06zu6aDnfdKHFgm9ro1Ki6Q1ZJudt0GxERuTaXrhNjDYftnVRG2X2SWPtFU2ZuATokpegEedxqgYiIyioXdWLckSNHNdwNk4iJiMjWGMTYgHaxON6UdbnrdBsREbkul07sdQcb0i+hQ1IKhqw8gA5JKdiQ7sR9nZxAbqKuM5KIiYiofGNOjBUqep6HJYm6mbkFnG4jIiKDzLl/cyTGCu64rNpWLK2LEx7oi3b1gxnAEBGR1RjEWKEiF4uryAEcERG5BgYxVqjIeR4VOYAjIiLXwNVJVrL3smrtlU+uQhXAadfFcaU+EhFR+cYgxgbMWVZtTlDijAq35vSPdXGIiMiZGMQ4kDlBiaHE2U6NqtstWLAkaGJdHCIichbmxDiIuat5HJ046467cBMRUcXGIMZBzA1KHJ04y9VGRETkbhjEOIi5QYmjVz5xtREREbkb5sRYyNxVQ5as5nFk4ixXGxERkbvhtgMWsGbVkKuX3Xf1/hERUflmzv2bIzFmsnbVkKuv5nH1/hEREakwJ8ZMTIAlIiJyDQxizMQEWCIiItfAIMZMFXm/JCIiIlfCnBgLsNw+ERGR8zGIsRATYImIiJyL00lERETklhjEEBERkVtiEENERERuiUEMERERuSUGMUREROSWGMQQERGRW2IQQ0RERG6JQQwRERG5JQYxRERE5JYYxBAREZFbYhBDREREbqnc7p0khAAA5OXlObknREREJJfqvq26jxtTboOYO3fuAAAiIyOd3BMiIiIy1507dxAYGGi0jULICXXcUGlpKa5du4aAgAAoFAqbnjsvLw+RkZG4fPkyqlSpYtNzlze8VvLxWsnHayUfr5V5eL3ks9e1EkLgzp07iIiIgIeH8ayXcjsS4+HhgVq1atn1PapUqcIvuUy8VvLxWsnHayUfr5V5eL3ks8e1MjUCo8LEXiIiInJLDGKIiIjILTGIsYBSqcTMmTOhVCqd3RWXx2slH6+VfLxW8vFamYfXSz5XuFblNrGXiIiIyjeOxBAREZFbYhBDREREbolBDBEREbklBjFERETklhjEEBERkVtiEGOmpUuXIioqCpUqVUJMTAz27Nnj7C453axZs6BQKDR+wsLC1M8LITBr1ixERETA19cXXbp0wfHjx53YY8fZvXs3nnrqKUREREChUGDLli0az8u5NoWFhRg3bhxCQkLg7++Pfv364cqVKw78FI5h6loNGzZM53v22GOPabSpKNcqMTERbdq0QUBAAGrUqIH+/fvj9OnTGm343ZLIuVb8bkmWLVuGli1bqivwtmvXDj/++KP6eVf8TjGIMcOGDRsQFxeH6dOn4/Dhw3j88cfRu3dvXLp0ydldc7pmzZohMzNT/XP06FH1c/PmzcP8+fOxePFipKenIywsDN27d1dv0lme5efnIzo6GosXL9b7vJxrExcXh82bN2P9+vVITU3F3bt30bdvX5SUlDjqYziEqWsFAL169dL4nm3dulXj+YpyrXbt2oUxY8Zg//79SE5OxoMHD9CjRw/k5+er2/C7JZFzrQB+twCgVq1aSEpKwsGDB3Hw4EE88cQTePrpp9WBikt+pwTJ9uijj4pRo0ZpHGvSpImYOnWqk3rkGmbOnCmio6P1PldaWirCwsJEUlKS+tj9+/dFYGCg+PTTTx3UQ9cAQGzevFn9WM61uX37tvD29hbr169Xt7l69arw8PAQ27Ztc1jfHU37WgkhxNChQ8XTTz9t8DUV9VoJIcT169cFALFr1y4hBL9bxmhfKyH43TImKChIrFq1ymW/UxyJkamoqAiHDh1Cjx49NI736NEDaWlpTuqV6zh79iwiIiIQFRWFQYMG4fz58wCAjIwMZGVlaVw3pVKJzp07V/jrJufaHDp0CMXFxRptIiIi0Lx58wp5/Xbu3IkaNWqgUaNGGDFiBK5fv65+riJfq9zcXABAtWrVAPC7ZYz2tVLhd0tTSUkJ1q9fj/z8fLRr185lv1MMYmTKzs5GSUkJQkNDNY6HhoYiKyvLSb1yDW3btsUXX3yBn376CStXrkRWVhbat2+Pmzdvqq8Nr5suOdcmKysLPj4+CAoKMtimoujduze++uorpKSk4KOPPkJ6ejqeeOIJFBYWAqi410oIgQkTJqBjx45o3rw5AH63DNF3rQB+t8o6evQoKleuDKVSiVGjRmHz5s146KGHXPY75WWXs5ZjCoVC47EQQudYRdO7d2/1n1u0aIF27dqhfv36WLt2rTo5jtfNMEuuTUW8fgMHDlT/uXnz5njkkUdQp04d/PDDD3j22WcNvq68X6uxY8fiyJEjSE1N1XmO3y1Nhq4Vv1v/aNy4MX7//Xfcvn0bGzduxNChQ7Fr1y718672neJIjEwhISHw9PTUiSavX7+uE5lWdP7+/mjRogXOnj2rXqXE66ZLzrUJCwtDUVERcnJyDLapqMLDw1GnTh2cPXsWQMW8VuPGjcP333+PHTt2oFatWurj/G7pMnSt9KnI3y0fHx80aNAAjzzyCBITExEdHY2FCxe67HeKQYxMPj4+iImJQXJyssbx5ORktG/f3km9ck2FhYU4efIkwsPDERUVhbCwMI3rVlRUhF27dlX46ybn2sTExMDb21ujTWZmJo4dO1bhr9/Nmzdx+fJlhIeHA6hY10oIgbFjx2LTpk1ISUlBVFSUxvP8bv3D1LXSpyJ/t7QJIVBYWOi63ym7pAuXU+vXrxfe3t5i9erV4sSJEyIuLk74+/uLCxcuOLtrTjVx4kSxc+dOcf78ebF//37Rt29fERAQoL4uSUlJIjAwUGzatEkcPXpUDB48WISHh4u8vDwn99z+7ty5Iw4fPiwOHz4sAIj58+eLw4cPi4sXLwoh5F2bUaNGiVq1aomff/5Z/Pbbb+KJJ54Q0dHR4sGDB876WHZh7FrduXNHTJw4UaSlpYmMjAyxY8cO0a5dO1GzZs0Kea1Gjx4tAgMDxc6dO0VmZqb65969e+o2/G5JTF0rfrf+ER8fL3bv3i0yMjLEkSNHxLRp04SHh4fYvn27EMI1v1MMYsy0ZMkSUadOHeHj4yNat26tsUyvoho4cKAIDw8X3t7eIiIiQjz77LPi+PHj6udLS0vFzJkzRVhYmFAqlaJTp07i6NGjTuyx4+zYsUMA0PkZOnSoEELetSkoKBBjx44V1apVE76+vqJv377i0qVLTvg09mXsWt27d0/06NFDVK9eXXh7e4vatWuLoUOH6lyHinKt9F0nAOLzzz9Xt+F3S2LqWvG79Y9XXnlFfX+rXr266NatmzqAEcI1v1MKIYSwzxgPERERkf0wJ4aIiIjcEoMYIiIicksMYoiIiMgtMYghIiIit8QghoiIiNwSgxgiIiJySwxiiIiIyC0xiCEiIiK3xCCGiIiI3BKDGCIiInJLDGKIiIjILf0/uZoZJkGhPN4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X, y3_data, '.')\n",
    "\n",
    "x = np.arange(0, 300, 0.02).reshape(-1, 1)\n",
    "\n",
    "# 预测线\n",
    "y = regr.predict(x)\n",
    "plt.plot(x[:, 0], y,color='red')\n",
    "plt.title(f'y = {regr.coef_ } x + {regr.intercept_}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccc65724-4aef-4019-bb5e-c6a384a968f8",
   "metadata": {},
   "source": [
    "# 第三题：分析数据结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "45ae0dd9-97a4-4d34-8650-a2aae5bcc2d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.0025786000000000975 -0.22976456572951065\n",
      "0.002557780000000065 0.7507894805607407\n",
      "-0.0038944299999998933 0.5879657744480369\n"
     ]
    }
   ],
   "source": [
    "# 设定的三次方差分别为500，1000，5000\n",
    "\n",
    "#y = [2.9974214] x + 4.770235434270489\n",
    "#y = [3.00255778] x + 5.750789480560741\n",
    "#y = [2.99610557] x + 5.587965774448037\n",
    "\n",
    "k1=2.9974214\n",
    "k2=3.00255778\n",
    "k3=2.99610557\n",
    "\n",
    "b1=4.770235434270489\n",
    "b2=5.750789480560741\n",
    "b3=5.587965774448037\n",
    "\n",
    "#设定的k=3，b=5\n",
    "print(k1-3,b1-5)\n",
    "print(k2-3,b2-5)\n",
    "print(k3-3,b3-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "88136a12-b258-4169-8425-0733760ce6a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "理论上，高斯噪声小的时候，拟合的线性方程更加接近预先给定的直线方程\n",
    "但实际上 斜率的准确程度为1>2>3，截距的准确程度为1>3>2  (设定的三次方差分别为500，1000，5000)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
